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Finding the Fourth Proportional to 22,566, 31,147.20 and 13,613.76

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Solution

The fourth proportional to 22,566, 31,147.20 and 13,613.76 is: 18,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566 : 31,147.20 = 13,613.76 : x
  2. Step 2: Convert to fraction form
    22,566/31,147.20 = 13,613.76/x
  3. Step 3: Cross multiply
    22,566x = 31,147.20 × 13,613.76
  4. Step 4: Simplify right side
    22,566x = 424,030,505.47
  5. Step 5: Solve for x
    x = 424,030,505.47/22,566
  6. Step 6: Final answer
    x = 18,790.68

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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.