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Finding the Fourth Proportional to 26,114.38, 39,163.26 and 8,580.16

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Solution

The fourth proportional to 26,114.38, 39,163.26 and 8,580.16 is: 12,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114.38 : 39,163.26 = 8,580.16 : x
  2. Step 2: Convert to fraction form
    26,114.38/39,163.26 = 8,580.16/x
  3. Step 3: Cross multiply
    26,114.38x = 39,163.26 × 8,580.16
  4. Step 4: Simplify right side
    26,114.38x = 336,027,036.92
  5. Step 5: Solve for x
    x = 336,027,036.92/26,114.38
  6. Step 6: Final answer
    x = 12,867.51

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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.