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Finding the Fourth Proportional to 22,897.65, 34,340.13 and 8,104.62

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Solution

The fourth proportional to 22,897.65, 34,340.13 and 8,104.62 is: 12,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.65 : 34,340.13 = 8,104.62 : x
  2. Step 2: Convert to fraction form
    22,897.65/34,340.13 = 8,104.62/x
  3. Step 3: Cross multiply
    22,897.65x = 34,340.13 × 8,104.62
  4. Step 4: Simplify right side
    22,897.65x = 278,313,704.40
  5. Step 5: Solve for x
    x = 278,313,704.40/22,897.65
  6. Step 6: Final answer
    x = 12,154.68

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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.