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Finding the Fourth Proportional to 21,711.30, 32,566.86 and 9,229.38

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Solution

The fourth proportional to 21,711.30, 32,566.86 and 9,229.38 is: 13,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.30 : 32,566.86 = 9,229.38 : x
  2. Step 2: Convert to fraction form
    21,711.30/32,566.86 = 9,229.38/x
  3. Step 3: Cross multiply
    21,711.30x = 32,566.86 × 9,229.38
  4. Step 4: Simplify right side
    21,711.30x = 300,571,926.35
  5. Step 5: Solve for x
    x = 300,571,926.35/21,711.30
  6. Step 6: Final answer
    x = 13,844.03

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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.