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Finding the Fourth Proportional to 26,583.44, 39,873.72 and 8,114

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Solution

The fourth proportional to 26,583.44, 39,873.72 and 8,114 is: 12,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,583.44 : 39,873.72 = 8,114 : x
  2. Step 2: Convert to fraction form
    26,583.44/39,873.72 = 8,114/x
  3. Step 3: Cross multiply
    26,583.44x = 39,873.72 × 8,114
  4. Step 4: Simplify right side
    26,583.44x = 323,535,364.08
  5. Step 5: Solve for x
    x = 323,535,364.08/26,583.44
  6. Step 6: Final answer
    x = 12,170.56

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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.