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Finding the Fourth Proportional to 26,388.48, 39,581.76 and 7,920

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Solution

The fourth proportional to 26,388.48, 39,581.76 and 7,920 is: 11,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,388.48 : 39,581.76 = 7,920 : x
  2. Step 2: Convert to fraction form
    26,388.48/39,581.76 = 7,920/x
  3. Step 3: Cross multiply
    26,388.48x = 39,581.76 × 7,920
  4. Step 4: Simplify right side
    26,388.48x = 313,487,539.20
  5. Step 5: Solve for x
    x = 313,487,539.20/26,388.48
  6. Step 6: Final answer
    x = 11,879.71

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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.