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Finding the Fourth Proportional to 22,827.80, 34,233.60 and 8,037.20

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Solution

The fourth proportional to 22,827.80, 34,233.60 and 8,037.20 is: 12,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.80 : 34,233.60 = 8,037.20 : x
  2. Step 2: Convert to fraction form
    22,827.80/34,233.60 = 8,037.20/x
  3. Step 3: Cross multiply
    22,827.80x = 34,233.60 × 8,037.20
  4. Step 4: Simplify right side
    22,827.80x = 275,142,289.92
  5. Step 5: Solve for x
    x = 275,142,289.92/22,827.80
  6. Step 6: Final answer
    x = 12,052.95

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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.