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Finding the Fourth Proportional to 20,269.71, 30,403.90 and 9,176.40

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Solution

The fourth proportional to 20,269.71, 30,403.90 and 9,176.40 is: 13,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.71 : 30,403.90 = 9,176.40 : x
  2. Step 2: Convert to fraction form
    20,269.71/30,403.90 = 9,176.40/x
  3. Step 3: Cross multiply
    20,269.71x = 30,403.90 × 9,176.40
  4. Step 4: Simplify right side
    20,269.71x = 278,998,359.43
  5. Step 5: Solve for x
    x = 278,998,359.43/20,269.71
  6. Step 6: Final answer
    x = 13,764.30

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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.