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Finding the Fourth Proportional to 23,873.78, 35,816.76 and 11,221.09

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Solution

The fourth proportional to 23,873.78, 35,816.76 and 11,221.09 is: 16,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.78 : 35,816.76 = 11,221.09 : x
  2. Step 2: Convert to fraction form
    23,873.78/35,816.76 = 11,221.09/x
  3. Step 3: Cross multiply
    23,873.78x = 35,816.76 × 11,221.09
  4. Step 4: Simplify right side
    23,873.78x = 401,903,087.47
  5. Step 5: Solve for x
    x = 401,903,087.47/23,873.78
  6. Step 6: Final answer
    x = 16,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.