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Finding the Fourth Proportional to 16,578.41, 24,864.15 and 5,482.49

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Solution

The fourth proportional to 16,578.41, 24,864.15 and 5,482.49 is: 8,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.41 : 24,864.15 = 5,482.49 : x
  2. Step 2: Convert to fraction form
    16,578.41/24,864.15 = 5,482.49/x
  3. Step 3: Cross multiply
    16,578.41x = 24,864.15 × 5,482.49
  4. Step 4: Simplify right side
    16,578.41x = 136,317,453.73
  5. Step 5: Solve for x
    x = 136,317,453.73/16,578.41
  6. Step 6: Final answer
    x = 8,222.59

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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.