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Finding the Fourth Proportional to 15,543.66, 23,309.82 and 5,680.02

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Solution

The fourth proportional to 15,543.66, 23,309.82 and 5,680.02 is: 8,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,543.66 : 23,309.82 = 5,680.02 : x
  2. Step 2: Convert to fraction form
    15,543.66/23,309.82 = 5,680.02/x
  3. Step 3: Cross multiply
    15,543.66x = 23,309.82 × 5,680.02
  4. Step 4: Simplify right side
    15,543.66x = 132,400,243.80
  5. Step 5: Solve for x
    x = 132,400,243.80/15,543.66
  6. Step 6: Final answer
    x = 8,517.96

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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.