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Finding the Fourth Proportional to 20,268.48, 30,402.54 and 8,580

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Solution

The fourth proportional to 20,268.48, 30,402.54 and 8,580 is: 12,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268.48 : 30,402.54 = 8,580 : x
  2. Step 2: Convert to fraction form
    20,268.48/30,402.54 = 8,580/x
  3. Step 3: Cross multiply
    20,268.48x = 30,402.54 × 8,580
  4. Step 4: Simplify right side
    20,268.48x = 260,853,793.20
  5. Step 5: Solve for x
    x = 260,853,793.20/20,268.48
  6. Step 6: Final answer
    x = 12,869.92

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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.