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Finding the Fourth Proportional to 21,684.08, 32,522.34 and 6,098

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Solution

The fourth proportional to 21,684.08, 32,522.34 and 6,098 is: 9,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.08 : 32,522.34 = 6,098 : x
  2. Step 2: Convert to fraction form
    21,684.08/32,522.34 = 6,098/x
  3. Step 3: Cross multiply
    21,684.08x = 32,522.34 × 6,098
  4. Step 4: Simplify right side
    21,684.08x = 198,321,229.32
  5. Step 5: Solve for x
    x = 198,321,229.32/21,684.08
  6. Step 6: Final answer
    x = 9,145.94

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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.