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Finding the Fourth Proportional to 26,540.92, 39,811.02 and 9,022.96

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Solution

The fourth proportional to 26,540.92, 39,811.02 and 9,022.96 is: 13,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.92 : 39,811.02 = 9,022.96 : x
  2. Step 2: Convert to fraction form
    26,540.92/39,811.02 = 9,022.96/x
  3. Step 3: Cross multiply
    26,540.92x = 39,811.02 × 9,022.96
  4. Step 4: Simplify right side
    26,540.92x = 359,213,241.02
  5. Step 5: Solve for x
    x = 359,213,241.02/26,540.92
  6. Step 6: Final answer
    x = 13,534.32

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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.