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Finding the Fourth Proportional to 16,238.96, 24,359.10 and 5,145.39

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Solution

The fourth proportional to 16,238.96, 24,359.10 and 5,145.39 is: 7,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.96 : 24,359.10 = 5,145.39 : x
  2. Step 2: Convert to fraction form
    16,238.96/24,359.10 = 5,145.39/x
  3. Step 3: Cross multiply
    16,238.96x = 24,359.10 × 5,145.39
  4. Step 4: Simplify right side
    16,238.96x = 125,337,069.55
  5. Step 5: Solve for x
    x = 125,337,069.55/16,238.96
  6. Step 6: Final answer
    x = 7,718.30

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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.