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Finding the Fourth Proportional to 27,692.19, 41,513.72 and 10,157.99

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Solution

The fourth proportional to 27,692.19, 41,513.72 and 10,157.99 is: 15,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.19 : 41,513.72 = 10,157.99 : x
  2. Step 2: Convert to fraction form
    27,692.19/41,513.72 = 10,157.99/x
  3. Step 3: Cross multiply
    27,692.19x = 41,513.72 × 10,157.99
  4. Step 4: Simplify right side
    27,692.19x = 421,695,694.26
  5. Step 5: Solve for x
    x = 421,695,694.26/27,692.19
  6. Step 6: Final answer
    x = 15,227.96

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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.