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Finding the Fourth Proportional to 22,965.75, 34,456.84 and 11,287.17

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Solution

The fourth proportional to 22,965.75, 34,456.84 and 11,287.17 is: 16,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.75 : 34,456.84 = 11,287.17 : x
  2. Step 2: Convert to fraction form
    22,965.75/34,456.84 = 11,287.17/x
  3. Step 3: Cross multiply
    22,965.75x = 34,456.84 × 11,287.17
  4. Step 4: Simplify right side
    22,965.75x = 388,920,182.52
  5. Step 5: Solve for x
    x = 388,920,182.52/22,965.75
  6. Step 6: Final answer
    x = 16,934.79

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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.