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Finding the Fourth Proportional to 27,198.42, 40,775.49 and 10,549.86

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Solution

The fourth proportional to 27,198.42, 40,775.49 and 10,549.86 is: 15,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.42 : 40,775.49 = 10,549.86 : x
  2. Step 2: Convert to fraction form
    27,198.42/40,775.49 = 10,549.86/x
  3. Step 3: Cross multiply
    27,198.42x = 40,775.49 × 10,549.86
  4. Step 4: Simplify right side
    27,198.42x = 430,175,710.93
  5. Step 5: Solve for x
    x = 430,175,710.93/27,198.42
  6. Step 6: Final answer
    x = 15,816.20

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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.