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Finding the Fourth Proportional to 21,149.68, 31,723.70 and 6,918.10

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Solution

The fourth proportional to 21,149.68, 31,723.70 and 6,918.10 is: 10,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.68 : 31,723.70 = 6,918.10 : x
  2. Step 2: Convert to fraction form
    21,149.68/31,723.70 = 6,918.10/x
  3. Step 3: Cross multiply
    21,149.68x = 31,723.70 × 6,918.10
  4. Step 4: Simplify right side
    21,149.68x = 219,467,728.97
  5. Step 5: Solve for x
    x = 219,467,728.97/21,149.68
  6. Step 6: Final answer
    x = 10,376.88

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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.