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Finding the Fourth Proportional to 22,049.79, 33,065.12 and 8,005.14

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Solution

The fourth proportional to 22,049.79, 33,065.12 and 8,005.14 is: 12,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.79 : 33,065.12 = 8,005.14 : x
  2. Step 2: Convert to fraction form
    22,049.79/33,065.12 = 8,005.14/x
  3. Step 3: Cross multiply
    22,049.79x = 33,065.12 × 8,005.14
  4. Step 4: Simplify right side
    22,049.79x = 264,690,874.69
  5. Step 5: Solve for x
    x = 264,690,874.69/22,049.79
  6. Step 6: Final answer
    x = 12,004.24

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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.