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Finding the Fourth Proportional to 16,159.92, 24,240.36 and 4,474

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Solution

The fourth proportional to 16,159.92, 24,240.36 and 4,474 is: 6,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.92 : 24,240.36 = 4,474 : x
  2. Step 2: Convert to fraction form
    16,159.92/24,240.36 = 4,474/x
  3. Step 3: Cross multiply
    16,159.92x = 24,240.36 × 4,474
  4. Step 4: Simplify right side
    16,159.92x = 108,451,370.64
  5. Step 5: Solve for x
    x = 108,451,370.64/16,159.92
  6. Step 6: Final answer
    x = 6,711.13

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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.