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Finding the Fourth Proportional to 22,436.65, 33,648.49 and 7,645.24

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Solution

The fourth proportional to 22,436.65, 33,648.49 and 7,645.24 is: 11,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436.65 : 33,648.49 = 7,645.24 : x
  2. Step 2: Convert to fraction form
    22,436.65/33,648.49 = 7,645.24/x
  3. Step 3: Cross multiply
    22,436.65x = 33,648.49 × 7,645.24
  4. Step 4: Simplify right side
    22,436.65x = 257,250,781.69
  5. Step 5: Solve for x
    x = 257,250,781.69/22,436.65
  6. Step 6: Final answer
    x = 11,465.65

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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.