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Finding the Fourth Proportional to 21,144.29, 31,720.07 and 7,105.65

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Solution

The fourth proportional to 21,144.29, 31,720.07 and 7,105.65 is: 10,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.29 : 31,720.07 = 7,105.65 : x
  2. Step 2: Convert to fraction form
    21,144.29/31,720.07 = 7,105.65/x
  3. Step 3: Cross multiply
    21,144.29x = 31,720.07 × 7,105.65
  4. Step 4: Simplify right side
    21,144.29x = 225,391,679.87
  5. Step 5: Solve for x
    x = 225,391,679.87/21,144.29
  6. Step 6: Final answer
    x = 10,659.70

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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.