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Finding the Fourth Proportional to 20,487.12, 30,725.82 and 5,696.52

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Solution

The fourth proportional to 20,487.12, 30,725.82 and 5,696.52 is: 8,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.12 : 30,725.82 = 5,696.52 : x
  2. Step 2: Convert to fraction form
    20,487.12/30,725.82 = 5,696.52/x
  3. Step 3: Cross multiply
    20,487.12x = 30,725.82 × 5,696.52
  4. Step 4: Simplify right side
    20,487.12x = 175,030,248.15
  5. Step 5: Solve for x
    x = 175,030,248.15/20,487.12
  6. Step 6: Final answer
    x = 8,543.43

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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.