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Finding the Fourth Proportional to 20,282.46, 30,406.06 and 9,747.20

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Solution

The fourth proportional to 20,282.46, 30,406.06 and 9,747.20 is: 14,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.46 : 30,406.06 = 9,747.20 : x
  2. Step 2: Convert to fraction form
    20,282.46/30,406.06 = 9,747.20/x
  3. Step 3: Cross multiply
    20,282.46x = 30,406.06 × 9,747.20
  4. Step 4: Simplify right side
    20,282.46x = 296,373,948.03
  5. Step 5: Solve for x
    x = 296,373,948.03/20,282.46
  6. Step 6: Final answer
    x = 14,612.33

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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.