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Finding the Fourth Proportional to 22,609.71, 31,199.88 and 12,537.78

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Solution

The fourth proportional to 22,609.71, 31,199.88 and 12,537.78 is: 17,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.71 : 31,199.88 = 12,537.78 : x
  2. Step 2: Convert to fraction form
    22,609.71/31,199.88 = 12,537.78/x
  3. Step 3: Cross multiply
    22,609.71x = 31,199.88 × 12,537.78
  4. Step 4: Simplify right side
    22,609.71x = 391,177,231.47
  5. Step 5: Solve for x
    x = 391,177,231.47/22,609.71
  6. Step 6: Final answer
    x = 17,301.29

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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.