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Finding the Fourth Proportional to 15,863.31, 23,793.61 and 6,500.65

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Solution

The fourth proportional to 15,863.31, 23,793.61 and 6,500.65 is: 9,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.31 : 23,793.61 = 6,500.65 : x
  2. Step 2: Convert to fraction form
    15,863.31/23,793.61 = 6,500.65/x
  3. Step 3: Cross multiply
    15,863.31x = 23,793.61 × 6,500.65
  4. Step 4: Simplify right side
    15,863.31x = 154,673,930.85
  5. Step 5: Solve for x
    x = 154,673,930.85/15,863.31
  6. Step 6: Final answer
    x = 9,750.42

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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.