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Finding the Fourth Proportional to 27,593.50, 41,402.40 and 9,125.50

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Solution

The fourth proportional to 27,593.50, 41,402.40 and 9,125.50 is: 13,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593.50 : 41,402.40 = 9,125.50 : x
  2. Step 2: Convert to fraction form
    27,593.50/41,402.40 = 9,125.50/x
  3. Step 3: Cross multiply
    27,593.50x = 41,402.40 × 9,125.50
  4. Step 4: Simplify right side
    27,593.50x = 377,817,601.20
  5. Step 5: Solve for x
    x = 377,817,601.20/27,593.50
  6. Step 6: Final answer
    x = 13,692.27

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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.