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Finding the Fourth Proportional to 26,778.56, 40,175.76 and 9,250.16

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Solution

The fourth proportional to 26,778.56, 40,175.76 and 9,250.16 is: 13,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.56 : 40,175.76 = 9,250.16 : x
  2. Step 2: Convert to fraction form
    26,778.56/40,175.76 = 9,250.16/x
  3. Step 3: Cross multiply
    26,778.56x = 40,175.76 × 9,250.16
  4. Step 4: Simplify right side
    26,778.56x = 371,632,208.12
  5. Step 5: Solve for x
    x = 371,632,208.12/26,778.56
  6. Step 6: Final answer
    x = 13,877.98

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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.