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Finding the Fourth Proportional to 24,282.67, 36,414.43 and 11,799

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Solution

The fourth proportional to 24,282.67, 36,414.43 and 11,799 is: 17,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.67 : 36,414.43 = 11,799 : x
  2. Step 2: Convert to fraction form
    24,282.67/36,414.43 = 11,799/x
  3. Step 3: Cross multiply
    24,282.67x = 36,414.43 × 11,799
  4. Step 4: Simplify right side
    24,282.67x = 429,653,859.57
  5. Step 5: Solve for x
    x = 429,653,859.57/24,282.67
  6. Step 6: Final answer
    x = 17,693.85

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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.