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Finding the Fourth Proportional to 16,471.48, 24,702 and 13,839.72

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Solution

The fourth proportional to 16,471.48, 24,702 and 13,839.72 is: 20,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.48 : 24,702 = 13,839.72 : x
  2. Step 2: Convert to fraction form
    16,471.48/24,702 = 13,839.72/x
  3. Step 3: Cross multiply
    16,471.48x = 24,702 × 13,839.72
  4. Step 4: Simplify right side
    16,471.48x = 341,868,763.44
  5. Step 5: Solve for x
    x = 341,868,763.44/16,471.48
  6. Step 6: Final answer
    x = 20,755.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.