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Finding the Fourth Proportional to 16,167.68, 24,256 and 6,805.44

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Solution

The fourth proportional to 16,167.68, 24,256 and 6,805.44 is: 10,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.68 : 24,256 = 6,805.44 : x
  2. Step 2: Convert to fraction form
    16,167.68/24,256 = 6,805.44/x
  3. Step 3: Cross multiply
    16,167.68x = 24,256 × 6,805.44
  4. Step 4: Simplify right side
    16,167.68x = 165,072,752.64
  5. Step 5: Solve for x
    x = 165,072,752.64/16,167.68
  6. Step 6: Final answer
    x = 10,210.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.