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Finding the Fourth Proportional to 20,149.20, 30,235.64 and 8,461.52

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Solution

The fourth proportional to 20,149.20, 30,235.64 and 8,461.52 is: 12,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.20 : 30,235.64 = 8,461.52 : x
  2. Step 2: Convert to fraction form
    20,149.20/30,235.64 = 8,461.52/x
  3. Step 3: Cross multiply
    20,149.20x = 30,235.64 × 8,461.52
  4. Step 4: Simplify right side
    20,149.20x = 255,839,472.57
  5. Step 5: Solve for x
    x = 255,839,472.57/20,149.20
  6. Step 6: Final answer
    x = 12,697.25

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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.