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Finding the Fourth Proportional to 15,648.69, 23,470.52 and 6,881.97

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Solution

The fourth proportional to 15,648.69, 23,470.52 and 6,881.97 is: 10,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.69 : 23,470.52 = 6,881.97 : x
  2. Step 2: Convert to fraction form
    15,648.69/23,470.52 = 6,881.97/x
  3. Step 3: Cross multiply
    15,648.69x = 23,470.52 × 6,881.97
  4. Step 4: Simplify right side
    15,648.69x = 161,523,380.11
  5. Step 5: Solve for x
    x = 161,523,380.11/15,648.69
  6. Step 6: Final answer
    x = 10,321.85

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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.