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Finding the Fourth Proportional to 22,114.44, 33,174.12 and 8,078.76

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Solution

The fourth proportional to 22,114.44, 33,174.12 and 8,078.76 is: 12,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114.44 : 33,174.12 = 8,078.76 : x
  2. Step 2: Convert to fraction form
    22,114.44/33,174.12 = 8,078.76/x
  3. Step 3: Cross multiply
    22,114.44x = 33,174.12 × 8,078.76
  4. Step 4: Simplify right side
    22,114.44x = 268,005,753.69
  5. Step 5: Solve for x
    x = 268,005,753.69/22,114.44
  6. Step 6: Final answer
    x = 12,119.04

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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.