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Finding the Fourth Proportional to 15,862.14, 21,891.40 and 9,149.27

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Solution

The fourth proportional to 15,862.14, 21,891.40 and 9,149.27 is: 12,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.14 : 21,891.40 = 9,149.27 : x
  2. Step 2: Convert to fraction form
    15,862.14/21,891.40 = 9,149.27/x
  3. Step 3: Cross multiply
    15,862.14x = 21,891.40 × 9,149.27
  4. Step 4: Simplify right side
    15,862.14x = 200,290,196.95
  5. Step 5: Solve for x
    x = 200,290,196.95/15,862.14
  6. Step 6: Final answer
    x = 12,626.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.