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Finding the Fourth Proportional to 22,497.75, 31,047.15 and 12,425.96

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Solution

The fourth proportional to 22,497.75, 31,047.15 and 12,425.96 is: 17,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.75 : 31,047.15 = 12,425.96 : x
  2. Step 2: Convert to fraction form
    22,497.75/31,047.15 = 12,425.96/x
  3. Step 3: Cross multiply
    22,497.75x = 31,047.15 × 12,425.96
  4. Step 4: Simplify right side
    22,497.75x = 385,790,644.01
  5. Step 5: Solve for x
    x = 385,790,644.01/22,497.75
  6. Step 6: Final answer
    x = 17,147.97

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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.