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Finding the Fourth Proportional to 22,171, 30,595.71 and 12,738.82

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Solution

The fourth proportional to 22,171, 30,595.71 and 12,738.82 is: 17,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171 : 30,595.71 = 12,738.82 : x
  2. Step 2: Convert to fraction form
    22,171/30,595.71 = 12,738.82/x
  3. Step 3: Cross multiply
    22,171x = 30,595.71 × 12,738.82
  4. Step 4: Simplify right side
    22,171x = 389,753,242.46
  5. Step 5: Solve for x
    x = 389,753,242.46/22,171
  6. Step 6: Final answer
    x = 17,579.42

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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.