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Finding the Fourth Proportional to 23,175.72, 34,766.46 and 8,382.76

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Solution

The fourth proportional to 23,175.72, 34,766.46 and 8,382.76 is: 12,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,175.72 : 34,766.46 = 8,382.76 : x
  2. Step 2: Convert to fraction form
    23,175.72/34,766.46 = 8,382.76/x
  3. Step 3: Cross multiply
    23,175.72x = 34,766.46 × 8,382.76
  4. Step 4: Simplify right side
    23,175.72x = 291,438,890.23
  5. Step 5: Solve for x
    x = 291,438,890.23/23,175.72
  6. Step 6: Final answer
    x = 12,575.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.