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Finding the Fourth Proportional to 22,497.00, 31,046.09 and 12,425.69

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Solution

The fourth proportional to 22,497.00, 31,046.09 and 12,425.69 is: 17,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.00 : 31,046.09 = 12,425.69 : x
  2. Step 2: Convert to fraction form
    22,497.00/31,046.09 = 12,425.69/x
  3. Step 3: Cross multiply
    22,497.00x = 31,046.09 × 12,425.69
  4. Step 4: Simplify right side
    22,497.00x = 385,769,090.05
  5. Step 5: Solve for x
    x = 385,769,090.05/22,497.00
  6. Step 6: Final answer
    x = 17,147.58

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.