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Finding the Fourth Proportional to 22,827.12, 34,233.88 and 9,679.28

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Solution

The fourth proportional to 22,827.12, 34,233.88 and 9,679.28 is: 14,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.12 : 34,233.88 = 9,679.28 : x
  2. Step 2: Convert to fraction form
    22,827.12/34,233.88 = 9,679.28/x
  3. Step 3: Cross multiply
    22,827.12x = 34,233.88 × 9,679.28
  4. Step 4: Simplify right side
    22,827.12x = 331,359,310.01
  5. Step 5: Solve for x
    x = 331,359,310.01/22,827.12
  6. Step 6: Final answer
    x = 14,516.04

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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.