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Finding the Fourth Proportional to 22,050.95, 30,431.37 and 13,553.44

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Solution

The fourth proportional to 22,050.95, 30,431.37 and 13,553.44 is: 18,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050.95 : 30,431.37 = 13,553.44 : x
  2. Step 2: Convert to fraction form
    22,050.95/30,431.37 = 13,553.44/x
  3. Step 3: Cross multiply
    22,050.95x = 30,431.37 × 13,553.44
  4. Step 4: Simplify right side
    22,050.95x = 412,449,595.26
  5. Step 5: Solve for x
    x = 412,449,595.26/22,050.95
  6. Step 6: Final answer
    x = 18,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.