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Finding the Fourth Proportional to 22,687.39, 34,007.85 and 7,884.14

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Solution

The fourth proportional to 22,687.39, 34,007.85 and 7,884.14 is: 11,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.39 : 34,007.85 = 7,884.14 : x
  2. Step 2: Convert to fraction form
    22,687.39/34,007.85 = 7,884.14/x
  3. Step 3: Cross multiply
    22,687.39x = 34,007.85 × 7,884.14
  4. Step 4: Simplify right side
    22,687.39x = 268,122,480.46
  5. Step 5: Solve for x
    x = 268,122,480.46/22,687.39
  6. Step 6: Final answer
    x = 11,818.13

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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.