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Finding the Fourth Proportional to 27,240.80, 40,851.60 and 9,711.20

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Solution

The fourth proportional to 27,240.80, 40,851.60 and 9,711.20 is: 14,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240.80 : 40,851.60 = 9,711.20 : x
  2. Step 2: Convert to fraction form
    27,240.80/40,851.60 = 9,711.20/x
  3. Step 3: Cross multiply
    27,240.80x = 40,851.60 × 9,711.20
  4. Step 4: Simplify right side
    27,240.80x = 396,718,057.92
  5. Step 5: Solve for x
    x = 396,718,057.92/27,240.80
  6. Step 6: Final answer
    x = 14,563.38

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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.