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Finding the Fourth Proportional to 26,740.80, 40,100.16 and 10,098

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Solution

The fourth proportional to 26,740.80, 40,100.16 and 10,098 is: 15,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740.80 : 40,100.16 = 10,098 : x
  2. Step 2: Convert to fraction form
    26,740.80/40,100.16 = 10,098/x
  3. Step 3: Cross multiply
    26,740.80x = 40,100.16 × 10,098
  4. Step 4: Simplify right side
    26,740.80x = 404,931,415.68
  5. Step 5: Solve for x
    x = 404,931,415.68/26,740.80
  6. Step 6: Final answer
    x = 15,142.83

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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.