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Finding the Fourth Proportional to 22,865.78, 31,540.65 and 15,692.42

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Solution

The fourth proportional to 22,865.78, 31,540.65 and 15,692.42 is: 21,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.78 : 31,540.65 = 15,692.42 : x
  2. Step 2: Convert to fraction form
    22,865.78/31,540.65 = 15,692.42/x
  3. Step 3: Cross multiply
    22,865.78x = 31,540.65 × 15,692.42
  4. Step 4: Simplify right side
    22,865.78x = 494,949,126.87
  5. Step 5: Solve for x
    x = 494,949,126.87/22,865.78
  6. Step 6: Final answer
    x = 21,645.84

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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.