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Finding the Fourth Proportional to 22,493.52, 33,703.38 and 7,694.46

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Solution

The fourth proportional to 22,493.52, 33,703.38 and 7,694.46 is: 11,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.52 : 33,703.38 = 7,694.46 : x
  2. Step 2: Convert to fraction form
    22,493.52/33,703.38 = 7,694.46/x
  3. Step 3: Cross multiply
    22,493.52x = 33,703.38 × 7,694.46
  4. Step 4: Simplify right side
    22,493.52x = 259,329,309.27
  5. Step 5: Solve for x
    x = 259,329,309.27/22,493.52
  6. Step 6: Final answer
    x = 11,529.07

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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.