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Finding the Fourth Proportional to 16,463.50, 24,697.42 and 5,366.30

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Solution

The fourth proportional to 16,463.50, 24,697.42 and 5,366.30 is: 8,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.50 : 24,697.42 = 5,366.30 : x
  2. Step 2: Convert to fraction form
    16,463.50/24,697.42 = 5,366.30/x
  3. Step 3: Cross multiply
    16,463.50x = 24,697.42 × 5,366.30
  4. Step 4: Simplify right side
    16,463.50x = 132,533,764.95
  5. Step 5: Solve for x
    x = 132,533,764.95/16,463.50
  6. Step 6: Final answer
    x = 8,050.16

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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.