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Finding the Fourth Proportional to 21,144.86, 31,717.81 and 7,105.09

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Solution

The fourth proportional to 21,144.86, 31,717.81 and 7,105.09 is: 10,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.86 : 31,717.81 = 7,105.09 : x
  2. Step 2: Convert to fraction form
    21,144.86/31,717.81 = 7,105.09/x
  3. Step 3: Cross multiply
    21,144.86x = 31,717.81 × 7,105.09
  4. Step 4: Simplify right side
    21,144.86x = 225,357,859.13
  5. Step 5: Solve for x
    x = 225,357,859.13/21,144.86
  6. Step 6: Final answer
    x = 10,657.81

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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.