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Finding the Fourth Proportional to 26,824.50, 40,223.66 and 8,100.95

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Solution

The fourth proportional to 26,824.50, 40,223.66 and 8,100.95 is: 12,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.50 : 40,223.66 = 8,100.95 : x
  2. Step 2: Convert to fraction form
    26,824.50/40,223.66 = 8,100.95/x
  3. Step 3: Cross multiply
    26,824.50x = 40,223.66 × 8,100.95
  4. Step 4: Simplify right side
    26,824.50x = 325,849,616.85
  5. Step 5: Solve for x
    x = 325,849,616.85/26,824.50
  6. Step 6: Final answer
    x = 12,147.46

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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.