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Finding the Fourth Proportional to 26,519.76, 39,781.20 and 10,932

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Solution

The fourth proportional to 26,519.76, 39,781.20 and 10,932 is: 16,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,519.76 : 39,781.20 = 10,932 : x
  2. Step 2: Convert to fraction form
    26,519.76/39,781.20 = 10,932/x
  3. Step 3: Cross multiply
    26,519.76x = 39,781.20 × 10,932
  4. Step 4: Simplify right side
    26,519.76x = 434,888,078.40
  5. Step 5: Solve for x
    x = 434,888,078.40/26,519.76
  6. Step 6: Final answer
    x = 16,398.64

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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.