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Finding the Fourth Proportional to 26,843.84, 40,259.64 and 10,205.72

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Solution

The fourth proportional to 26,843.84, 40,259.64 and 10,205.72 is: 15,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,843.84 : 40,259.64 = 10,205.72 : x
  2. Step 2: Convert to fraction form
    26,843.84/40,259.64 = 10,205.72/x
  3. Step 3: Cross multiply
    26,843.84x = 40,259.64 × 10,205.72
  4. Step 4: Simplify right side
    26,843.84x = 410,878,613.14
  5. Step 5: Solve for x
    x = 410,878,613.14/26,843.84
  6. Step 6: Final answer
    x = 15,306.25

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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.