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Finding the Fourth Proportional to 26,881.44, 40,309.08 and 8,158.08

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Solution

The fourth proportional to 26,881.44, 40,309.08 and 8,158.08 is: 12,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,881.44 : 40,309.08 = 8,158.08 : x
  2. Step 2: Convert to fraction form
    26,881.44/40,309.08 = 8,158.08/x
  3. Step 3: Cross multiply
    26,881.44x = 40,309.08 × 8,158.08
  4. Step 4: Simplify right side
    26,881.44x = 328,844,699.37
  5. Step 5: Solve for x
    x = 328,844,699.37/26,881.44
  6. Step 6: Final answer
    x = 12,233.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.