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Finding the Fourth Proportional to 21,680.00, 32,519.99 and 6,097.62

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Solution

The fourth proportional to 21,680.00, 32,519.99 and 6,097.62 is: 9,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.00 : 32,519.99 = 6,097.62 : x
  2. Step 2: Convert to fraction form
    21,680.00/32,519.99 = 6,097.62/x
  3. Step 3: Cross multiply
    21,680.00x = 32,519.99 × 6,097.62
  4. Step 4: Simplify right side
    21,680.00x = 198,294,510.94
  5. Step 5: Solve for x
    x = 198,294,510.94/21,680.00
  6. Step 6: Final answer
    x = 9,146.43

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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.