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Finding the Fourth Proportional to 17,687.40, 24,408.35 and 9,729.15

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Solution

The fourth proportional to 17,687.40, 24,408.35 and 9,729.15 is: 13,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.40 : 24,408.35 = 9,729.15 : x
  2. Step 2: Convert to fraction form
    17,687.40/24,408.35 = 9,729.15/x
  3. Step 3: Cross multiply
    17,687.40x = 24,408.35 × 9,729.15
  4. Step 4: Simplify right side
    17,687.40x = 237,472,327.72
  5. Step 5: Solve for x
    x = 237,472,327.72/17,687.40
  6. Step 6: Final answer
    x = 13,426.08

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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.