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Finding the Fourth Proportional to 21,833.89, 32,723.43 and 9,339.22

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Solution

The fourth proportional to 21,833.89, 32,723.43 and 9,339.22 is: 13,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.89 : 32,723.43 = 9,339.22 : x
  2. Step 2: Convert to fraction form
    21,833.89/32,723.43 = 9,339.22/x
  3. Step 3: Cross multiply
    21,833.89x = 32,723.43 × 9,339.22
  4. Step 4: Simplify right side
    21,833.89x = 305,611,311.92
  5. Step 5: Solve for x
    x = 305,611,311.92/21,833.89
  6. Step 6: Final answer
    x = 13,997.11

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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.