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Finding the Fourth Proportional to 12,240.20, 16,882.08 and 8,255

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Solution

The fourth proportional to 12,240.20, 16,882.08 and 8,255 is: 11,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240.20 : 16,882.08 = 8,255 : x
  2. Step 2: Convert to fraction form
    12,240.20/16,882.08 = 8,255/x
  3. Step 3: Cross multiply
    12,240.20x = 16,882.08 × 8,255
  4. Step 4: Simplify right side
    12,240.20x = 139,361,570.40
  5. Step 5: Solve for x
    x = 139,361,570.40/12,240.20
  6. Step 6: Final answer
    x = 11,385.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.