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Finding the Fourth Proportional to 24,338.73, 36,514.17 and 6,808.43

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Solution

The fourth proportional to 24,338.73, 36,514.17 and 6,808.43 is: 10,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.73 : 36,514.17 = 6,808.43 : x
  2. Step 2: Convert to fraction form
    24,338.73/36,514.17 = 6,808.43/x
  3. Step 3: Cross multiply
    24,338.73x = 36,514.17 × 6,808.43
  4. Step 4: Simplify right side
    24,338.73x = 248,603,987.88
  5. Step 5: Solve for x
    x = 248,603,987.88/24,338.73
  6. Step 6: Final answer
    x = 10,214.34

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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.