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Finding the Fourth Proportional to 22,208.88, 33,302 and 7,412.48

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Solution

The fourth proportional to 22,208.88, 33,302 and 7,412.48 is: 11,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.88 : 33,302 = 7,412.48 : x
  2. Step 2: Convert to fraction form
    22,208.88/33,302 = 7,412.48/x
  3. Step 3: Cross multiply
    22,208.88x = 33,302 × 7,412.48
  4. Step 4: Simplify right side
    22,208.88x = 246,850,408.96
  5. Step 5: Solve for x
    x = 246,850,408.96/22,208.88
  6. Step 6: Final answer
    x = 11,114.94

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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.