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Finding the Fourth Proportional to 22,947.96, 34,415.68 and 6,304.04

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Solution

The fourth proportional to 22,947.96, 34,415.68 and 6,304.04 is: 9,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.96 : 34,415.68 = 6,304.04 : x
  2. Step 2: Convert to fraction form
    22,947.96/34,415.68 = 6,304.04/x
  3. Step 3: Cross multiply
    22,947.96x = 34,415.68 × 6,304.04
  4. Step 4: Simplify right side
    22,947.96x = 216,957,619.75
  5. Step 5: Solve for x
    x = 216,957,619.75/22,947.96
  6. Step 6: Final answer
    x = 9,454.33

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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.