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Finding the Fourth Proportional to 26,763.60, 40,144.16 and 11,180

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Solution

The fourth proportional to 26,763.60, 40,144.16 and 11,180 is: 16,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,763.60 : 40,144.16 = 11,180 : x
  2. Step 2: Convert to fraction form
    26,763.60/40,144.16 = 11,180/x
  3. Step 3: Cross multiply
    26,763.60x = 40,144.16 × 11,180
  4. Step 4: Simplify right side
    26,763.60x = 448,811,708.80
  5. Step 5: Solve for x
    x = 448,811,708.80/26,763.60
  6. Step 6: Final answer
    x = 16,769.48

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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.