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Finding the Fourth Proportional to 16,578.14, 24,866.42 and 4,098.12

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Solution

The fourth proportional to 16,578.14, 24,866.42 and 4,098.12 is: 6,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.14 : 24,866.42 = 4,098.12 : x
  2. Step 2: Convert to fraction form
    16,578.14/24,866.42 = 4,098.12/x
  3. Step 3: Cross multiply
    16,578.14x = 24,866.42 × 4,098.12
  4. Step 4: Simplify right side
    16,578.14x = 101,905,540.85
  5. Step 5: Solve for x
    x = 101,905,540.85/16,578.14
  6. Step 6: Final answer
    x = 6,146.98

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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.