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Finding the Fourth Proportional to 17,686.49, 24,407.96 and 9,729.05

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Solution

The fourth proportional to 17,686.49, 24,407.96 and 9,729.05 is: 13,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.49 : 24,407.96 = 9,729.05 : x
  2. Step 2: Convert to fraction form
    17,686.49/24,407.96 = 9,729.05/x
  3. Step 3: Cross multiply
    17,686.49x = 24,407.96 × 9,729.05
  4. Step 4: Simplify right side
    17,686.49x = 237,466,092.55
  5. Step 5: Solve for x
    x = 237,466,092.55/17,686.49
  6. Step 6: Final answer
    x = 13,426.42

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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.