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Finding the Fourth Proportional to 10,824.39, 16,229.43 and 9,343.53

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Solution

The fourth proportional to 10,824.39, 16,229.43 and 9,343.53 is: 14,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.39 : 16,229.43 = 9,343.53 : x
  2. Step 2: Convert to fraction form
    10,824.39/16,229.43 = 9,343.53/x
  3. Step 3: Cross multiply
    10,824.39x = 16,229.43 × 9,343.53
  4. Step 4: Simplify right side
    10,824.39x = 151,640,166.09
  5. Step 5: Solve for x
    x = 151,640,166.09/10,824.39
  6. Step 6: Final answer
    x = 14,009.12

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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.