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Finding the Fourth Proportional to 15,744.96, 23,617.05 and 6,382.47

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Solution

The fourth proportional to 15,744.96, 23,617.05 and 6,382.47 is: 9,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.96 : 23,617.05 = 6,382.47 : x
  2. Step 2: Convert to fraction form
    15,744.96/23,617.05 = 6,382.47/x
  3. Step 3: Cross multiply
    15,744.96x = 23,617.05 × 6,382.47
  4. Step 4: Simplify right side
    15,744.96x = 150,735,177.74
  5. Step 5: Solve for x
    x = 150,735,177.74/15,744.96
  6. Step 6: Final answer
    x = 9,573.55

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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.