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Finding the Fourth Proportional to 22,822.09, 34,218.48 and 9,504.33

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Solution

The fourth proportional to 22,822.09, 34,218.48 and 9,504.33 is: 14,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.09 : 34,218.48 = 9,504.33 : x
  2. Step 2: Convert to fraction form
    22,822.09/34,218.48 = 9,504.33/x
  3. Step 3: Cross multiply
    22,822.09x = 34,218.48 × 9,504.33
  4. Step 4: Simplify right side
    22,822.09x = 325,223,726.02
  5. Step 5: Solve for x
    x = 325,223,726.02/22,822.09
  6. Step 6: Final answer
    x = 14,250.39

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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.