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Finding the Fourth Proportional to 22,897.11, 34,344.54 and 13,414.80

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Solution

The fourth proportional to 22,897.11, 34,344.54 and 13,414.80 is: 20,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.11 : 34,344.54 = 13,414.80 : x
  2. Step 2: Convert to fraction form
    22,897.11/34,344.54 = 13,414.80/x
  3. Step 3: Cross multiply
    22,897.11x = 34,344.54 × 13,414.80
  4. Step 4: Simplify right side
    22,897.11x = 460,725,135.19
  5. Step 5: Solve for x
    x = 460,725,135.19/22,897.11
  6. Step 6: Final answer
    x = 20,121.54

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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.