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Finding the Fourth Proportional to 26,642.96, 39,972.44 and 7,923.66

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Solution

The fourth proportional to 26,642.96, 39,972.44 and 7,923.66 is: 11,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,642.96 : 39,972.44 = 7,923.66 : x
  2. Step 2: Convert to fraction form
    26,642.96/39,972.44 = 7,923.66/x
  3. Step 3: Cross multiply
    26,642.96x = 39,972.44 × 7,923.66
  4. Step 4: Simplify right side
    26,642.96x = 316,728,023.93
  5. Step 5: Solve for x
    x = 316,728,023.93/26,642.96
  6. Step 6: Final answer
    x = 11,887.87

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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.