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Finding the Fourth Proportional to 16,253.86, 24,378.30 and 5,159.10

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Solution

The fourth proportional to 16,253.86, 24,378.30 and 5,159.10 is: 7,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.86 : 24,378.30 = 5,159.10 : x
  2. Step 2: Convert to fraction form
    16,253.86/24,378.30 = 5,159.10/x
  3. Step 3: Cross multiply
    16,253.86x = 24,378.30 × 5,159.10
  4. Step 4: Simplify right side
    16,253.86x = 125,770,087.53
  5. Step 5: Solve for x
    x = 125,770,087.53/16,253.86
  6. Step 6: Final answer
    x = 7,737.86

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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.