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Finding the Fourth Proportional to 16,485.73, 24,737.10 and 10,565.79

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Solution

The fourth proportional to 16,485.73, 24,737.10 and 10,565.79 is: 15,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.73 : 24,737.10 = 10,565.79 : x
  2. Step 2: Convert to fraction form
    16,485.73/24,737.10 = 10,565.79/x
  3. Step 3: Cross multiply
    16,485.73x = 24,737.10 × 10,565.79
  4. Step 4: Simplify right side
    16,485.73x = 261,367,010.57
  5. Step 5: Solve for x
    x = 261,367,010.57/16,485.73
  6. Step 6: Final answer
    x = 15,854.14

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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.