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Finding the Fourth Proportional to 26,365.44, 39,553.92 and 7,896

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Solution

The fourth proportional to 26,365.44, 39,553.92 and 7,896 is: 11,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,365.44 : 39,553.92 = 7,896 : x
  2. Step 2: Convert to fraction form
    26,365.44/39,553.92 = 7,896/x
  3. Step 3: Cross multiply
    26,365.44x = 39,553.92 × 7,896
  4. Step 4: Simplify right side
    26,365.44x = 312,317,752.32
  5. Step 5: Solve for x
    x = 312,317,752.32/26,365.44
  6. Step 6: Final answer
    x = 11,845.73

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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.