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Finding the Fourth Proportional to 16,487.47, 24,734.24 and 5,394.78

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Solution

The fourth proportional to 16,487.47, 24,734.24 and 5,394.78 is: 8,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.47 : 24,734.24 = 5,394.78 : x
  2. Step 2: Convert to fraction form
    16,487.47/24,734.24 = 5,394.78/x
  3. Step 3: Cross multiply
    16,487.47x = 24,734.24 × 5,394.78
  4. Step 4: Simplify right side
    16,487.47x = 133,435,796.75
  5. Step 5: Solve for x
    x = 133,435,796.75/16,487.47
  6. Step 6: Final answer
    x = 8,093.16

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Why These Related Problems?

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