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Finding the Fourth Proportional to 15,138.71, 20,897.24 and 11,372.80

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Solution

The fourth proportional to 15,138.71, 20,897.24 and 11,372.80 is: 15,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.71 : 20,897.24 = 11,372.80 : x
  2. Step 2: Convert to fraction form
    15,138.71/20,897.24 = 11,372.80/x
  3. Step 3: Cross multiply
    15,138.71x = 20,897.24 × 11,372.80
  4. Step 4: Simplify right side
    15,138.71x = 237,660,100.33
  5. Step 5: Solve for x
    x = 237,660,100.33/15,138.71
  6. Step 6: Final answer
    x = 15,698.83

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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.