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Finding the Fourth Proportional to 22,582.33, 33,889.04 and 7,791.26

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Solution

The fourth proportional to 22,582.33, 33,889.04 and 7,791.26 is: 11,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.33 : 33,889.04 = 7,791.26 : x
  2. Step 2: Convert to fraction form
    22,582.33/33,889.04 = 7,791.26/x
  3. Step 3: Cross multiply
    22,582.33x = 33,889.04 × 7,791.26
  4. Step 4: Simplify right side
    22,582.33x = 264,038,113.39
  5. Step 5: Solve for x
    x = 264,038,113.39/22,582.33
  6. Step 6: Final answer
    x = 11,692.25

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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.