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Finding the Fourth Proportional to 23,942.49, 35,910.99 and 9,151.08

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Solution

The fourth proportional to 23,942.49, 35,910.99 and 9,151.08 is: 13,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942.49 : 35,910.99 = 9,151.08 : x
  2. Step 2: Convert to fraction form
    23,942.49/35,910.99 = 9,151.08/x
  3. Step 3: Cross multiply
    23,942.49x = 35,910.99 × 9,151.08
  4. Step 4: Simplify right side
    23,942.49x = 328,624,342.37
  5. Step 5: Solve for x
    x = 328,624,342.37/23,942.49
  6. Step 6: Final answer
    x = 13,725.57

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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.