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Finding the Fourth Proportional to 26,180.40, 39,268.80 and 8,410.80

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Solution

The fourth proportional to 26,180.40, 39,268.80 and 8,410.80 is: 12,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,180.40 : 39,268.80 = 8,410.80 : x
  2. Step 2: Convert to fraction form
    26,180.40/39,268.80 = 8,410.80/x
  3. Step 3: Cross multiply
    26,180.40x = 39,268.80 × 8,410.80
  4. Step 4: Simplify right side
    26,180.40x = 330,282,023.04
  5. Step 5: Solve for x
    x = 330,282,023.04/26,180.40
  6. Step 6: Final answer
    x = 12,615.62

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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.