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Finding the Fourth Proportional to 27,692.52, 41,538.78 and 10,155.72

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Solution

The fourth proportional to 27,692.52, 41,538.78 and 10,155.72 is: 15,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.52 : 41,538.78 = 10,155.72 : x
  2. Step 2: Convert to fraction form
    27,692.52/41,538.78 = 10,155.72/x
  3. Step 3: Cross multiply
    27,692.52x = 41,538.78 × 10,155.72
  4. Step 4: Simplify right side
    27,692.52x = 421,856,218.82
  5. Step 5: Solve for x
    x = 421,856,218.82/27,692.52
  6. Step 6: Final answer
    x = 15,233.58

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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.