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Finding the Fourth Proportional to 26,734.02, 40,107.86 and 8,014

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Solution

The fourth proportional to 26,734.02, 40,107.86 and 8,014 is: 12,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734.02 : 40,107.86 = 8,014 : x
  2. Step 2: Convert to fraction form
    26,734.02/40,107.86 = 8,014/x
  3. Step 3: Cross multiply
    26,734.02x = 40,107.86 × 8,014
  4. Step 4: Simplify right side
    26,734.02x = 321,424,390.04
  5. Step 5: Solve for x
    x = 321,424,390.04/26,734.02
  6. Step 6: Final answer
    x = 12,023.05

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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.