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Finding the Fourth Proportional to 20,242, 30,367.48 and 8,565.20

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Solution

The fourth proportional to 20,242, 30,367.48 and 8,565.20 is: 12,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 30,367.48 = 8,565.20 : x
  2. Step 2: Convert to fraction form
    20,242/30,367.48 = 8,565.20/x
  3. Step 3: Cross multiply
    20,242x = 30,367.48 × 8,565.20
  4. Step 4: Simplify right side
    20,242x = 260,103,539.70
  5. Step 5: Solve for x
    x = 260,103,539.70/20,242
  6. Step 6: Final answer
    x = 12,849.70

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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.