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Finding the Fourth Proportional to 22,778.68, 34,168.40 and 7,988.04

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Solution

The fourth proportional to 22,778.68, 34,168.40 and 7,988.04 is: 11,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.68 : 34,168.40 = 7,988.04 : x
  2. Step 2: Convert to fraction form
    22,778.68/34,168.40 = 7,988.04/x
  3. Step 3: Cross multiply
    22,778.68x = 34,168.40 × 7,988.04
  4. Step 4: Simplify right side
    22,778.68x = 272,938,545.94
  5. Step 5: Solve for x
    x = 272,938,545.94/22,778.68
  6. Step 6: Final answer
    x = 11,982.19

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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.