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Finding the Fourth Proportional to 22,497.75, 31,046.90 and 13,066.92

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Solution

The fourth proportional to 22,497.75, 31,046.90 and 13,066.92 is: 18,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.75 : 31,046.90 = 13,066.92 : x
  2. Step 2: Convert to fraction form
    22,497.75/31,046.90 = 13,066.92/x
  3. Step 3: Cross multiply
    22,497.75x = 31,046.90 × 13,066.92
  4. Step 4: Simplify right side
    22,497.75x = 405,687,293.21
  5. Step 5: Solve for x
    x = 405,687,293.21/22,497.75
  6. Step 6: Final answer
    x = 18,032.35

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Similar ratio
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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.