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Finding the Fourth Proportional to 22,137.56, 30,550.38 and 12,577.22

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Solution

The fourth proportional to 22,137.56, 30,550.38 and 12,577.22 is: 17,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137.56 : 30,550.38 = 12,577.22 : x
  2. Step 2: Convert to fraction form
    22,137.56/30,550.38 = 12,577.22/x
  3. Step 3: Cross multiply
    22,137.56x = 30,550.38 × 12,577.22
  4. Step 4: Simplify right side
    22,137.56x = 384,238,850.34
  5. Step 5: Solve for x
    x = 384,238,850.34/22,137.56
  6. Step 6: Final answer
    x = 17,356.87

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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.