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Finding the Fourth Proportional to 26,478.64, 39,717.94 and 6,757.20

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Solution

The fourth proportional to 26,478.64, 39,717.94 and 6,757.20 is: 10,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.64 : 39,717.94 = 6,757.20 : x
  2. Step 2: Convert to fraction form
    26,478.64/39,717.94 = 6,757.20/x
  3. Step 3: Cross multiply
    26,478.64x = 39,717.94 × 6,757.20
  4. Step 4: Simplify right side
    26,478.64x = 268,382,047.28
  5. Step 5: Solve for x
    x = 268,382,047.28/26,478.64
  6. Step 6: Final answer
    x = 10,135.80

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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.