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Finding the Fourth Proportional to 16,578.16, 24,866.92 and 4,266.16

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Solution

The fourth proportional to 16,578.16, 24,866.92 and 4,266.16 is: 6,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.16 : 24,866.92 = 4,266.16 : x
  2. Step 2: Convert to fraction form
    16,578.16/24,866.92 = 4,266.16/x
  3. Step 3: Cross multiply
    16,578.16x = 24,866.92 × 4,266.16
  4. Step 4: Simplify right side
    16,578.16x = 106,086,259.43
  5. Step 5: Solve for x
    x = 106,086,259.43/16,578.16
  6. Step 6: Final answer
    x = 6,399.16

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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.