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Finding the Fourth Proportional to 27,692.20, 41,543.70 and 11,897.20

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Solution

The fourth proportional to 27,692.20, 41,543.70 and 11,897.20 is: 17,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.20 : 41,543.70 = 11,897.20 : x
  2. Step 2: Convert to fraction form
    27,692.20/41,543.70 = 11,897.20/x
  3. Step 3: Cross multiply
    27,692.20x = 41,543.70 × 11,897.20
  4. Step 4: Simplify right side
    27,692.20x = 494,253,707.64
  5. Step 5: Solve for x
    x = 494,253,707.64/27,692.20
  6. Step 6: Final answer
    x = 17,848.12

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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.