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Finding the Fourth Proportional to 21,167.86, 31,753.00 and 6,375.23

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Solution

The fourth proportional to 21,167.86, 31,753.00 and 6,375.23 is: 9,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.86 : 31,753.00 = 6,375.23 : x
  2. Step 2: Convert to fraction form
    21,167.86/31,753.00 = 6,375.23/x
  3. Step 3: Cross multiply
    21,167.86x = 31,753.00 × 6,375.23
  4. Step 4: Simplify right side
    21,167.86x = 202,432,662.25
  5. Step 5: Solve for x
    x = 202,432,662.25/21,167.86
  6. Step 6: Final answer
    x = 9,563.21

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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.