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Finding the Fourth Proportional to 26,883.90, 40,323.25 and 8,164.10

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Solution

The fourth proportional to 26,883.90, 40,323.25 and 8,164.10 is: 12,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,883.90 : 40,323.25 = 8,164.10 : x
  2. Step 2: Convert to fraction form
    26,883.90/40,323.25 = 8,164.10/x
  3. Step 3: Cross multiply
    26,883.90x = 40,323.25 × 8,164.10
  4. Step 4: Simplify right side
    26,883.90x = 329,203,045.33
  5. Step 5: Solve for x
    x = 329,203,045.33/26,883.90
  6. Step 6: Final answer
    x = 12,245.36

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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.