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Finding the Fourth Proportional to 20,474.19, 30,712.17 and 7,148.52

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Solution

The fourth proportional to 20,474.19, 30,712.17 and 7,148.52 is: 10,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.19 : 30,712.17 = 7,148.52 : x
  2. Step 2: Convert to fraction form
    20,474.19/30,712.17 = 7,148.52/x
  3. Step 3: Cross multiply
    20,474.19x = 30,712.17 × 7,148.52
  4. Step 4: Simplify right side
    20,474.19x = 219,546,561.49
  5. Step 5: Solve for x
    x = 219,546,561.49/20,474.19
  6. Step 6: Final answer
    x = 10,723.09

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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.