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Finding the Fourth Proportional to 20,251.08, 30,377.70 and 6,399

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Solution

The fourth proportional to 20,251.08, 30,377.70 and 6,399 is: 9,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.08 : 30,377.70 = 6,399 : x
  2. Step 2: Convert to fraction form
    20,251.08/30,377.70 = 6,399/x
  3. Step 3: Cross multiply
    20,251.08x = 30,377.70 × 6,399
  4. Step 4: Simplify right side
    20,251.08x = 194,386,902.30
  5. Step 5: Solve for x
    x = 194,386,902.30/20,251.08
  6. Step 6: Final answer
    x = 9,598.84

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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.