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Finding the Fourth Proportional to 17,737.10, 24,487.20 and 11,776.92

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Solution

The fourth proportional to 17,737.10, 24,487.20 and 11,776.92 is: 16,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.10 : 24,487.20 = 11,776.92 : x
  2. Step 2: Convert to fraction form
    17,737.10/24,487.20 = 11,776.92/x
  3. Step 3: Cross multiply
    17,737.10x = 24,487.20 × 11,776.92
  4. Step 4: Simplify right side
    17,737.10x = 288,383,795.42
  5. Step 5: Solve for x
    x = 288,383,795.42/17,737.10
  6. Step 6: Final answer
    x = 16,258.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.