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Finding the Fourth Proportional to 26,638.68, 39,959.82 and 9,120.78

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Solution

The fourth proportional to 26,638.68, 39,959.82 and 9,120.78 is: 13,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638.68 : 39,959.82 = 9,120.78 : x
  2. Step 2: Convert to fraction form
    26,638.68/39,959.82 = 9,120.78/x
  3. Step 3: Cross multiply
    26,638.68x = 39,959.82 × 9,120.78
  4. Step 4: Simplify right side
    26,638.68x = 364,464,727.06
  5. Step 5: Solve for x
    x = 364,464,727.06/26,638.68
  6. Step 6: Final answer
    x = 13,681.79

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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.