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Finding the Fourth Proportional to 22,684.14, 34,031.78 and 7,893.18

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Solution

The fourth proportional to 22,684.14, 34,031.78 and 7,893.18 is: 11,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.14 : 34,031.78 = 7,893.18 : x
  2. Step 2: Convert to fraction form
    22,684.14/34,031.78 = 7,893.18/x
  3. Step 3: Cross multiply
    22,684.14x = 34,031.78 × 7,893.18
  4. Step 4: Simplify right side
    22,684.14x = 268,618,965.26
  5. Step 5: Solve for x
    x = 268,618,965.26/22,684.14
  6. Step 6: Final answer
    x = 11,841.71

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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.