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Finding the Fourth Proportional to 16,310.25, 24,467.13 and 5,214.33

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Solution

The fourth proportional to 16,310.25, 24,467.13 and 5,214.33 is: 7,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.25 : 24,467.13 = 5,214.33 : x
  2. Step 2: Convert to fraction form
    16,310.25/24,467.13 = 5,214.33/x
  3. Step 3: Cross multiply
    16,310.25x = 24,467.13 × 5,214.33
  4. Step 4: Simplify right side
    16,310.25x = 127,579,689.97
  5. Step 5: Solve for x
    x = 127,579,689.97/16,310.25
  6. Step 6: Final answer
    x = 7,822.06

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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.