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Finding the Fourth Proportional to 21,708.50, 32,562.39 and 6,917.22

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Solution

The fourth proportional to 21,708.50, 32,562.39 and 6,917.22 is: 10,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.50 : 32,562.39 = 6,917.22 : x
  2. Step 2: Convert to fraction form
    21,708.50/32,562.39 = 6,917.22/x
  3. Step 3: Cross multiply
    21,708.50x = 32,562.39 × 6,917.22
  4. Step 4: Simplify right side
    21,708.50x = 225,241,119.19
  5. Step 5: Solve for x
    x = 225,241,119.19/21,708.50
  6. Step 6: Final answer
    x = 10,375.71

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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.