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Finding the Fourth Proportional to 21,680.49, 32,520.74 and 6,098.11

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Solution

The fourth proportional to 21,680.49, 32,520.74 and 6,098.11 is: 9,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.49 : 32,520.74 = 6,098.11 : x
  2. Step 2: Convert to fraction form
    21,680.49/32,520.74 = 6,098.11/x
  3. Step 3: Cross multiply
    21,680.49x = 32,520.74 × 6,098.11
  4. Step 4: Simplify right side
    21,680.49x = 198,315,049.80
  5. Step 5: Solve for x
    x = 198,315,049.80/21,680.49
  6. Step 6: Final answer
    x = 9,147.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.