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Finding the Fourth Proportional to 22,578.33, 33,867.49 and 9,421.47

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Solution

The fourth proportional to 22,578.33, 33,867.49 and 9,421.47 is: 14,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.33 : 33,867.49 = 9,421.47 : x
  2. Step 2: Convert to fraction form
    22,578.33/33,867.49 = 9,421.47/x
  3. Step 3: Cross multiply
    22,578.33x = 33,867.49 × 9,421.47
  4. Step 4: Simplify right side
    22,578.33x = 319,081,555.62
  5. Step 5: Solve for x
    x = 319,081,555.62/22,578.33
  6. Step 6: Final answer
    x = 14,132.21

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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.