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Finding the Fourth Proportional to 27,818.40, 41,727.60 and 12,266.40

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Solution

The fourth proportional to 27,818.40, 41,727.60 and 12,266.40 is: 18,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.40 : 41,727.60 = 12,266.40 : x
  2. Step 2: Convert to fraction form
    27,818.40/41,727.60 = 12,266.40/x
  3. Step 3: Cross multiply
    27,818.40x = 41,727.60 × 12,266.40
  4. Step 4: Simplify right side
    27,818.40x = 511,847,432.64
  5. Step 5: Solve for x
    x = 511,847,432.64/27,818.40
  6. Step 6: Final answer
    x = 18,399.60

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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.