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Finding the Fourth Proportional to 17,686.56, 24,408.72 and 9,729.12

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Solution

The fourth proportional to 17,686.56, 24,408.72 and 9,729.12 is: 13,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.56 : 24,408.72 = 9,729.12 : x
  2. Step 2: Convert to fraction form
    17,686.56/24,408.72 = 9,729.12/x
  3. Step 3: Cross multiply
    17,686.56x = 24,408.72 × 9,729.12
  4. Step 4: Simplify right side
    17,686.56x = 237,475,365.93
  5. Step 5: Solve for x
    x = 237,475,365.93/17,686.56
  6. Step 6: Final answer
    x = 13,426.88

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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.