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Finding the Fourth Proportional to 27,692.25, 38,213.96 and 15,754.47

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Solution

The fourth proportional to 27,692.25, 38,213.96 and 15,754.47 is: 21,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.25 : 38,213.96 = 15,754.47 : x
  2. Step 2: Convert to fraction form
    27,692.25/38,213.96 = 15,754.47/x
  3. Step 3: Cross multiply
    27,692.25x = 38,213.96 × 15,754.47
  4. Step 4: Simplify right side
    27,692.25x = 602,040,686.40
  5. Step 5: Solve for x
    x = 602,040,686.40/27,692.25
  6. Step 6: Final answer
    x = 21,740.40

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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.