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Finding the Fourth Proportional to 26,850.85, 40,282.09 and 10,211.20

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Solution

The fourth proportional to 26,850.85, 40,282.09 and 10,211.20 is: 15,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850.85 : 40,282.09 = 10,211.20 : x
  2. Step 2: Convert to fraction form
    26,850.85/40,282.09 = 10,211.20/x
  3. Step 3: Cross multiply
    26,850.85x = 40,282.09 × 10,211.20
  4. Step 4: Simplify right side
    26,850.85x = 411,328,477.41
  5. Step 5: Solve for x
    x = 411,328,477.41/26,850.85
  6. Step 6: Final answer
    x = 15,319.01

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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.