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Finding the Fourth Proportional to 22,046.50, 33,074.54 and 7,256.92

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Solution

The fourth proportional to 22,046.50, 33,074.54 and 7,256.92 is: 10,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.50 : 33,074.54 = 7,256.92 : x
  2. Step 2: Convert to fraction form
    22,046.50/33,074.54 = 7,256.92/x
  3. Step 3: Cross multiply
    22,046.50x = 33,074.54 × 7,256.92
  4. Step 4: Simplify right side
    22,046.50x = 240,019,290.82
  5. Step 5: Solve for x
    x = 240,019,290.82/22,046.50
  6. Step 6: Final answer
    x = 10,886.96

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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.