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Finding the Fourth Proportional to 22,340.78, 33,503.73 and 9,010.33

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Solution

The fourth proportional to 22,340.78, 33,503.73 and 9,010.33 is: 13,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.78 : 33,503.73 = 9,010.33 : x
  2. Step 2: Convert to fraction form
    22,340.78/33,503.73 = 9,010.33/x
  3. Step 3: Cross multiply
    22,340.78x = 33,503.73 × 9,010.33
  4. Step 4: Simplify right side
    22,340.78x = 301,879,663.53
  5. Step 5: Solve for x
    x = 301,879,663.53/22,340.78
  6. Step 6: Final answer
    x = 13,512.49

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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.