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Finding the Fourth Proportional to 20,205.52, 30,306.16 and 5,416

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Solution

The fourth proportional to 20,205.52, 30,306.16 and 5,416 is: 8,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.52 : 30,306.16 = 5,416 : x
  2. Step 2: Convert to fraction form
    20,205.52/30,306.16 = 5,416/x
  3. Step 3: Cross multiply
    20,205.52x = 30,306.16 × 5,416
  4. Step 4: Simplify right side
    20,205.52x = 164,138,162.56
  5. Step 5: Solve for x
    x = 164,138,162.56/20,205.52
  6. Step 6: Final answer
    x = 8,123.43

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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.