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Finding the Fourth Proportional to 26,648.40, 39,972.60 and 8,180.40

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Solution

The fourth proportional to 26,648.40, 39,972.60 and 8,180.40 is: 12,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,648.40 : 39,972.60 = 8,180.40 : x
  2. Step 2: Convert to fraction form
    26,648.40/39,972.60 = 8,180.40/x
  3. Step 3: Cross multiply
    26,648.40x = 39,972.60 × 8,180.40
  4. Step 4: Simplify right side
    26,648.40x = 326,991,857.04
  5. Step 5: Solve for x
    x = 326,991,857.04/26,648.40
  6. Step 6: Final answer
    x = 12,270.60

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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.