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Finding the Fourth Proportional to 22,614.69, 31,207.01 and 12,542.41

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Solution

The fourth proportional to 22,614.69, 31,207.01 and 12,542.41 is: 17,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.69 : 31,207.01 = 12,542.41 : x
  2. Step 2: Convert to fraction form
    22,614.69/31,207.01 = 12,542.41/x
  3. Step 3: Cross multiply
    22,614.69x = 31,207.01 × 12,542.41
  4. Step 4: Simplify right side
    22,614.69x = 391,411,090.59
  5. Step 5: Solve for x
    x = 391,411,090.59/22,614.69
  6. Step 6: Final answer
    x = 17,307.82

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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.