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Finding the Fourth Proportional to 20,099.20, 30,151.52 and 8,409.68

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Solution

The fourth proportional to 20,099.20, 30,151.52 and 8,409.68 is: 12,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.20 : 30,151.52 = 8,409.68 : x
  2. Step 2: Convert to fraction form
    20,099.20/30,151.52 = 8,409.68/x
  3. Step 3: Cross multiply
    20,099.20x = 30,151.52 × 8,409.68
  4. Step 4: Simplify right side
    20,099.20x = 253,564,634.71
  5. Step 5: Solve for x
    x = 253,564,634.71/20,099.20
  6. Step 6: Final answer
    x = 12,615.66

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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.