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Finding the Fourth Proportional to 16,166.83, 24,256.17 and 6,809.21

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Solution

The fourth proportional to 16,166.83, 24,256.17 and 6,809.21 is: 10,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.83 : 24,256.17 = 6,809.21 : x
  2. Step 2: Convert to fraction form
    16,166.83/24,256.17 = 6,809.21/x
  3. Step 3: Cross multiply
    16,166.83x = 24,256.17 × 6,809.21
  4. Step 4: Simplify right side
    16,166.83x = 165,165,355.33
  5. Step 5: Solve for x
    x = 165,165,355.33/16,166.83
  6. Step 6: Final answer
    x = 10,216.31

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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.