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Finding the Fourth Proportional to 20,140.44, 30,214.98 and 8,446.92

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Solution

The fourth proportional to 20,140.44, 30,214.98 and 8,446.92 is: 12,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.44 : 30,214.98 = 8,446.92 : x
  2. Step 2: Convert to fraction form
    20,140.44/30,214.98 = 8,446.92/x
  3. Step 3: Cross multiply
    20,140.44x = 30,214.98 × 8,446.92
  4. Step 4: Simplify right side
    20,140.44x = 255,223,518.86
  5. Step 5: Solve for x
    x = 255,223,518.86/20,140.44
  6. Step 6: Final answer
    x = 12,672.19

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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.