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Finding the Fourth Proportional to 27,722.68, 41,588.12 and 10,191.13

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Solution

The fourth proportional to 27,722.68, 41,588.12 and 10,191.13 is: 15,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.68 : 41,588.12 = 10,191.13 : x
  2. Step 2: Convert to fraction form
    27,722.68/41,588.12 = 10,191.13/x
  3. Step 3: Cross multiply
    27,722.68x = 41,588.12 × 10,191.13
  4. Step 4: Simplify right side
    27,722.68x = 423,829,937.38
  5. Step 5: Solve for x
    x = 423,829,937.38/27,722.68
  6. Step 6: Final answer
    x = 15,288.20

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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.