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Finding the Fourth Proportional to 22,567.71, 31,129.88 and 16,614.75

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Solution

The fourth proportional to 22,567.71, 31,129.88 and 16,614.75 is: 22,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.71 : 31,129.88 = 16,614.75 : x
  2. Step 2: Convert to fraction form
    22,567.71/31,129.88 = 16,614.75/x
  3. Step 3: Cross multiply
    22,567.71x = 31,129.88 × 16,614.75
  4. Step 4: Simplify right side
    22,567.71x = 517,215,090.66
  5. Step 5: Solve for x
    x = 517,215,090.66/22,567.71
  6. Step 6: Final answer
    x = 22,918.37

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