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Finding the Fourth Proportional to 22,828.64, 34,247.21 and 8,046.95

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Solution

The fourth proportional to 22,828.64, 34,247.21 and 8,046.95 is: 12,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828.64 : 34,247.21 = 8,046.95 : x
  2. Step 2: Convert to fraction form
    22,828.64/34,247.21 = 8,046.95/x
  3. Step 3: Cross multiply
    22,828.64x = 34,247.21 × 8,046.95
  4. Step 4: Simplify right side
    22,828.64x = 275,585,375.04
  5. Step 5: Solve for x
    x = 275,585,375.04/22,828.64
  6. Step 6: Final answer
    x = 12,071.92

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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.