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Finding the Fourth Proportional to 26,832.80, 40,254.88 and 8,114.24

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Solution

The fourth proportional to 26,832.80, 40,254.88 and 8,114.24 is: 12,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,832.80 : 40,254.88 = 8,114.24 : x
  2. Step 2: Convert to fraction form
    26,832.80/40,254.88 = 8,114.24/x
  3. Step 3: Cross multiply
    26,832.80x = 40,254.88 × 8,114.24
  4. Step 4: Simplify right side
    26,832.80x = 326,637,757.49
  5. Step 5: Solve for x
    x = 326,637,757.49/26,832.80
  6. Step 6: Final answer
    x = 12,173.08

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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.