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Finding the Fourth Proportional to 27,847.44, 41,758.20 and 10,316.88

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Solution

The fourth proportional to 27,847.44, 41,758.20 and 10,316.88 is: 15,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.44 : 41,758.20 = 10,316.88 : x
  2. Step 2: Convert to fraction form
    27,847.44/41,758.20 = 10,316.88/x
  3. Step 3: Cross multiply
    27,847.44x = 41,758.20 × 10,316.88
  4. Step 4: Simplify right side
    27,847.44x = 430,814,338.42
  5. Step 5: Solve for x
    x = 430,814,338.42/27,847.44
  6. Step 6: Final answer
    x = 15,470.52

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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.