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Finding the Fourth Proportional to 20,538.19, 30,807.34 and 5,747.24

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Solution

The fourth proportional to 20,538.19, 30,807.34 and 5,747.24 is: 8,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.19 : 30,807.34 = 5,747.24 : x
  2. Step 2: Convert to fraction form
    20,538.19/30,807.34 = 5,747.24/x
  3. Step 3: Cross multiply
    20,538.19x = 30,807.34 × 5,747.24
  4. Step 4: Simplify right side
    20,538.19x = 177,057,176.74
  5. Step 5: Solve for x
    x = 177,057,176.74/20,538.19
  6. Step 6: Final answer
    x = 8,620.88

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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.