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Finding the Fourth Proportional to 21,823.49, 32,715.74 and 9,337.09

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Solution

The fourth proportional to 21,823.49, 32,715.74 and 9,337.09 is: 13,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.49 : 32,715.74 = 9,337.09 : x
  2. Step 2: Convert to fraction form
    21,823.49/32,715.74 = 9,337.09/x
  3. Step 3: Cross multiply
    21,823.49x = 32,715.74 × 9,337.09
  4. Step 4: Simplify right side
    21,823.49x = 305,469,608.02
  5. Step 5: Solve for x
    x = 305,469,608.02/21,823.49
  6. Step 6: Final answer
    x = 13,997.29

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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.