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Finding the Fourth Proportional to 26,782.36, 40,191.96 and 9,252.22

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Solution

The fourth proportional to 26,782.36, 40,191.96 and 9,252.22 is: 13,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.36 : 40,191.96 = 9,252.22 : x
  2. Step 2: Convert to fraction form
    26,782.36/40,191.96 = 9,252.22/x
  3. Step 3: Cross multiply
    26,782.36x = 40,191.96 × 9,252.22
  4. Step 4: Simplify right side
    26,782.36x = 371,864,856.15
  5. Step 5: Solve for x
    x = 371,864,856.15/26,782.36
  6. Step 6: Final answer
    x = 13,884.69

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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.