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Finding the Fourth Proportional to 22,842.34, 34,182.41 and 13,954.95

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Solution

The fourth proportional to 22,842.34, 34,182.41 and 13,954.95 is: 20,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.34 : 34,182.41 = 13,954.95 : x
  2. Step 2: Convert to fraction form
    22,842.34/34,182.41 = 13,954.95/x
  3. Step 3: Cross multiply
    22,842.34x = 34,182.41 × 13,954.95
  4. Step 4: Simplify right side
    22,842.34x = 477,013,752.65
  5. Step 5: Solve for x
    x = 477,013,752.65/22,842.34
  6. Step 6: Final answer
    x = 20,882.88

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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.