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Finding the Fourth Proportional to 22,281.44, 30,747.94 and 12,209.83

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Solution

The fourth proportional to 22,281.44, 30,747.94 and 12,209.83 is: 16,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.44 : 30,747.94 = 12,209.83 : x
  2. Step 2: Convert to fraction form
    22,281.44/30,747.94 = 12,209.83/x
  3. Step 3: Cross multiply
    22,281.44x = 30,747.94 × 12,209.83
  4. Step 4: Simplify right side
    22,281.44x = 375,427,012.86
  5. Step 5: Solve for x
    x = 375,427,012.86/22,281.44
  6. Step 6: Final answer
    x = 16,849.32

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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.