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Finding the Fourth Proportional to 17,737.83, 24,475.50 and 10,565.55

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Solution

The fourth proportional to 17,737.83, 24,475.50 and 10,565.55 is: 14,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.83 : 24,475.50 = 10,565.55 : x
  2. Step 2: Convert to fraction form
    17,737.83/24,475.50 = 10,565.55/x
  3. Step 3: Cross multiply
    17,737.83x = 24,475.50 × 10,565.55
  4. Step 4: Simplify right side
    17,737.83x = 258,597,119.03
  5. Step 5: Solve for x
    x = 258,597,119.03/17,737.83
  6. Step 6: Final answer
    x = 14,578.85

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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.