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Finding the Fourth Proportional to 21,694.50, 32,538.15 and 6,108.66

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Solution

The fourth proportional to 21,694.50, 32,538.15 and 6,108.66 is: 9,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.50 : 32,538.15 = 6,108.66 : x
  2. Step 2: Convert to fraction form
    21,694.50/32,538.15 = 6,108.66/x
  3. Step 3: Cross multiply
    21,694.50x = 32,538.15 × 6,108.66
  4. Step 4: Simplify right side
    21,694.50x = 198,764,495.38
  5. Step 5: Solve for x
    x = 198,764,495.38/21,694.50
  6. Step 6: Final answer
    x = 9,161.98

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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.