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Finding the Fourth Proportional to 22,438.82, 33,661.92 and 8,403.68

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Solution

The fourth proportional to 22,438.82, 33,661.92 and 8,403.68 is: 12,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.82 : 33,661.92 = 8,403.68 : x
  2. Step 2: Convert to fraction form
    22,438.82/33,661.92 = 8,403.68/x
  3. Step 3: Cross multiply
    22,438.82x = 33,661.92 × 8,403.68
  4. Step 4: Simplify right side
    22,438.82x = 282,884,003.87
  5. Step 5: Solve for x
    x = 282,884,003.87/22,438.82
  6. Step 6: Final answer
    x = 12,606.90

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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.