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Finding the Fourth Proportional to 21,734.70, 32,614.20 and 9,252.60

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Solution

The fourth proportional to 21,734.70, 32,614.20 and 9,252.60 is: 13,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.70 : 32,614.20 = 9,252.60 : x
  2. Step 2: Convert to fraction form
    21,734.70/32,614.20 = 9,252.60/x
  3. Step 3: Cross multiply
    21,734.70x = 32,614.20 × 9,252.60
  4. Step 4: Simplify right side
    21,734.70x = 301,766,146.92
  5. Step 5: Solve for x
    x = 301,766,146.92/21,734.70
  6. Step 6: Final answer
    x = 13,884.07

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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.