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Finding the Fourth Proportional to 24,338.74, 36,514.29 and 6,808.66

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Solution

The fourth proportional to 24,338.74, 36,514.29 and 6,808.66 is: 10,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.74 : 36,514.29 = 6,808.66 : x
  2. Step 2: Convert to fraction form
    24,338.74/36,514.29 = 6,808.66/x
  3. Step 3: Cross multiply
    24,338.74x = 36,514.29 × 6,808.66
  4. Step 4: Simplify right side
    24,338.74x = 248,613,385.75
  5. Step 5: Solve for x
    x = 248,613,385.75/24,338.74
  6. Step 6: Final answer
    x = 10,214.72

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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.