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Finding the Fourth Proportional to 26,884.90, 40,324.75 and 8,165.10

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Solution

The fourth proportional to 26,884.90, 40,324.75 and 8,165.10 is: 12,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.90 : 40,324.75 = 8,165.10 : x
  2. Step 2: Convert to fraction form
    26,884.90/40,324.75 = 8,165.10/x
  3. Step 3: Cross multiply
    26,884.90x = 40,324.75 × 8,165.10
  4. Step 4: Simplify right side
    26,884.90x = 329,255,616.23
  5. Step 5: Solve for x
    x = 329,255,616.23/26,884.90
  6. Step 6: Final answer
    x = 12,246.86

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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.