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Finding the Fourth Proportional to 21,175.86, 31,767.03 and 6,382.86

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Solution

The fourth proportional to 21,175.86, 31,767.03 and 6,382.86 is: 9,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.86 : 31,767.03 = 6,382.86 : x
  2. Step 2: Convert to fraction form
    21,175.86/31,767.03 = 6,382.86/x
  3. Step 3: Cross multiply
    21,175.86x = 31,767.03 × 6,382.86
  4. Step 4: Simplify right side
    21,175.86x = 202,764,505.11
  5. Step 5: Solve for x
    x = 202,764,505.11/21,175.86
  6. Step 6: Final answer
    x = 9,575.27

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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.