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Finding the Fourth Proportional to 22,862.69, 34,298.12 and 8,080.19

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Solution

The fourth proportional to 22,862.69, 34,298.12 and 8,080.19 is: 12,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.69 : 34,298.12 = 8,080.19 : x
  2. Step 2: Convert to fraction form
    22,862.69/34,298.12 = 8,080.19/x
  3. Step 3: Cross multiply
    22,862.69x = 34,298.12 × 8,080.19
  4. Step 4: Simplify right side
    22,862.69x = 277,135,174.95
  5. Step 5: Solve for x
    x = 277,135,174.95/22,862.69
  6. Step 6: Final answer
    x = 12,121.72

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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.