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Finding the Fourth Proportional to 21,704.50, 32,560.98 and 9,224.38

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Solution

The fourth proportional to 21,704.50, 32,560.98 and 9,224.38 is: 13,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.50 : 32,560.98 = 9,224.38 : x
  2. Step 2: Convert to fraction form
    21,704.50/32,560.98 = 9,224.38/x
  3. Step 3: Cross multiply
    21,704.50x = 32,560.98 × 9,224.38
  4. Step 4: Simplify right side
    21,704.50x = 300,354,852.69
  5. Step 5: Solve for x
    x = 300,354,852.69/21,704.50
  6. Step 6: Final answer
    x = 13,838.37

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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.