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Finding the Fourth Proportional to 16,468.92, 24,700.02 and 5,938.62

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Solution

The fourth proportional to 16,468.92, 24,700.02 and 5,938.62 is: 8,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.92 : 24,700.02 = 5,938.62 : x
  2. Step 2: Convert to fraction form
    16,468.92/24,700.02 = 5,938.62/x
  3. Step 3: Cross multiply
    16,468.92x = 24,700.02 × 5,938.62
  4. Step 4: Simplify right side
    16,468.92x = 146,684,032.77
  5. Step 5: Solve for x
    x = 146,684,032.77/16,468.92
  6. Step 6: Final answer
    x = 8,906.72

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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.