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Finding the Fourth Proportional to 16,240.86, 24,306.21 and 10,314.90

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Solution

The fourth proportional to 16,240.86, 24,306.21 and 10,314.90 is: 15,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,240.86 : 24,306.21 = 10,314.90 : x
  2. Step 2: Convert to fraction form
    16,240.86/24,306.21 = 10,314.90/x
  3. Step 3: Cross multiply
    16,240.86x = 24,306.21 × 10,314.90
  4. Step 4: Simplify right side
    16,240.86x = 250,716,125.53
  5. Step 5: Solve for x
    x = 250,716,125.53/16,240.86
  6. Step 6: Final answer
    x = 15,437.37

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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.