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Finding the Fourth Proportional to 22,441.69, 33,663.56 and 8,398.07

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Solution

The fourth proportional to 22,441.69, 33,663.56 and 8,398.07 is: 12,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,441.69 : 33,663.56 = 8,398.07 : x
  2. Step 2: Convert to fraction form
    22,441.69/33,663.56 = 8,398.07/x
  3. Step 3: Cross multiply
    22,441.69x = 33,663.56 × 8,398.07
  4. Step 4: Simplify right side
    22,441.69x = 282,708,933.33
  5. Step 5: Solve for x
    x = 282,708,933.33/22,441.69
  6. Step 6: Final answer
    x = 12,597.49

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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.