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Finding the Fourth Proportional to 27,246.42, 40,869.77 and 8,271.22

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Solution

The fourth proportional to 27,246.42, 40,869.77 and 8,271.22 is: 12,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,246.42 : 40,869.77 = 8,271.22 : x
  2. Step 2: Convert to fraction form
    27,246.42/40,869.77 = 8,271.22/x
  3. Step 3: Cross multiply
    27,246.42x = 40,869.77 × 8,271.22
  4. Step 4: Simplify right side
    27,246.42x = 338,042,859.02
  5. Step 5: Solve for x
    x = 338,042,859.02/27,246.42
  6. Step 6: Final answer
    x = 12,406.87

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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.