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Finding the Fourth Proportional to 21,610.50, 32,419.67 and 10,517.20

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Solution

The fourth proportional to 21,610.50, 32,419.67 and 10,517.20 is: 15,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.50 : 32,419.67 = 10,517.20 : x
  2. Step 2: Convert to fraction form
    21,610.50/32,419.67 = 10,517.20/x
  3. Step 3: Cross multiply
    21,610.50x = 32,419.67 × 10,517.20
  4. Step 4: Simplify right side
    21,610.50x = 340,964,153.32
  5. Step 5: Solve for x
    x = 340,964,153.32/21,610.50
  6. Step 6: Final answer
    x = 15,777.71

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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.