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Finding the Fourth Proportional to 27,722.38, 41,582.22 and 10,191.10

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Solution

The fourth proportional to 27,722.38, 41,582.22 and 10,191.10 is: 15,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.38 : 41,582.22 = 10,191.10 : x
  2. Step 2: Convert to fraction form
    27,722.38/41,582.22 = 10,191.10/x
  3. Step 3: Cross multiply
    27,722.38x = 41,582.22 × 10,191.10
  4. Step 4: Simplify right side
    27,722.38x = 423,768,562.24
  5. Step 5: Solve for x
    x = 423,768,562.24/27,722.38
  6. Step 6: Final answer
    x = 15,286.15

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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.