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Finding the Fourth Proportional to 18,220, 27,327.56 and 7,118.96

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Solution

The fourth proportional to 18,220, 27,327.56 and 7,118.96 is: 10,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,220 : 27,327.56 = 7,118.96 : x
  2. Step 2: Convert to fraction form
    18,220/27,327.56 = 7,118.96/x
  3. Step 3: Cross multiply
    18,220x = 27,327.56 × 7,118.96
  4. Step 4: Simplify right side
    18,220x = 194,543,806.54
  5. Step 5: Solve for x
    x = 194,543,806.54/18,220
  6. Step 6: Final answer
    x = 10,677.49

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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.