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Finding the Fourth Proportional to 22,280.91, 30,747 and 12,209.13

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Solution

The fourth proportional to 22,280.91, 30,747 and 12,209.13 is: 16,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.91 : 30,747 = 12,209.13 : x
  2. Step 2: Convert to fraction form
    22,280.91/30,747 = 12,209.13/x
  3. Step 3: Cross multiply
    22,280.91x = 30,747 × 12,209.13
  4. Step 4: Simplify right side
    22,280.91x = 375,394,120.11
  5. Step 5: Solve for x
    x = 375,394,120.11/22,280.91
  6. Step 6: Final answer
    x = 16,848.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.