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Finding the Fourth Proportional to 21,680.50, 32,520.74 and 6,098.12

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Solution

The fourth proportional to 21,680.50, 32,520.74 and 6,098.12 is: 9,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.50 : 32,520.74 = 6,098.12 : x
  2. Step 2: Convert to fraction form
    21,680.50/32,520.74 = 6,098.12/x
  3. Step 3: Cross multiply
    21,680.50x = 32,520.74 × 6,098.12
  4. Step 4: Simplify right side
    21,680.50x = 198,315,375.01
  5. Step 5: Solve for x
    x = 198,315,375.01/21,680.50
  6. Step 6: Final answer
    x = 9,147.18

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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.