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Finding the Fourth Proportional to 16,046.92, 24,073 and 4,951.04

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Solution

The fourth proportional to 16,046.92, 24,073 and 4,951.04 is: 7,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.92 : 24,073 = 4,951.04 : x
  2. Step 2: Convert to fraction form
    16,046.92/24,073 = 4,951.04/x
  3. Step 3: Cross multiply
    16,046.92x = 24,073 × 4,951.04
  4. Step 4: Simplify right side
    16,046.92x = 119,186,385.92
  5. Step 5: Solve for x
    x = 119,186,385.92/16,046.92
  6. Step 6: Final answer
    x = 7,427.37

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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.