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Finding the Fourth Proportional to 26,856.75, 40,287.29 and 8,388.75

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Solution

The fourth proportional to 26,856.75, 40,287.29 and 8,388.75 is: 12,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856.75 : 40,287.29 = 8,388.75 : x
  2. Step 2: Convert to fraction form
    26,856.75/40,287.29 = 8,388.75/x
  3. Step 3: Cross multiply
    26,856.75x = 40,287.29 × 8,388.75
  4. Step 4: Simplify right side
    26,856.75x = 337,959,962.04
  5. Step 5: Solve for x
    x = 337,959,962.04/26,856.75
  6. Step 6: Final answer
    x = 12,583.80

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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.