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Finding the Fourth Proportional to 22,458.73, 33,691.16 and 7,663.67

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Solution

The fourth proportional to 22,458.73, 33,691.16 and 7,663.67 is: 11,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.73 : 33,691.16 = 7,663.67 : x
  2. Step 2: Convert to fraction form
    22,458.73/33,691.16 = 7,663.67/x
  3. Step 3: Cross multiply
    22,458.73x = 33,691.16 × 7,663.67
  4. Step 4: Simplify right side
    22,458.73x = 258,197,932.16
  5. Step 5: Solve for x
    x = 258,197,932.16/22,458.73
  6. Step 6: Final answer
    x = 11,496.55

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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.