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Finding the Fourth Proportional to 23,052.25, 34,581.84 and 8,257.65

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Solution

The fourth proportional to 23,052.25, 34,581.84 and 8,257.65 is: 12,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.25 : 34,581.84 = 8,257.65 : x
  2. Step 2: Convert to fraction form
    23,052.25/34,581.84 = 8,257.65/x
  3. Step 3: Cross multiply
    23,052.25x = 34,581.84 × 8,257.65
  4. Step 4: Simplify right side
    23,052.25x = 285,564,731.08
  5. Step 5: Solve for x
    x = 285,564,731.08/23,052.25
  6. Step 6: Final answer
    x = 12,387.72

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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.