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Finding the Fourth Proportional to 17,687.76, 24,408.69 and 9,729.81

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Solution

The fourth proportional to 17,687.76, 24,408.69 and 9,729.81 is: 13,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.76 : 24,408.69 = 9,729.81 : x
  2. Step 2: Convert to fraction form
    17,687.76/24,408.69 = 9,729.81/x
  3. Step 3: Cross multiply
    17,687.76x = 24,408.69 × 9,729.81
  4. Step 4: Simplify right side
    17,687.76x = 237,491,916.05
  5. Step 5: Solve for x
    x = 237,491,916.05/17,687.76
  6. Step 6: Final answer
    x = 13,426.91

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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.