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Finding the Fourth Proportional to 12,202.73, 18,301.97 and 4,809.26

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Solution

The fourth proportional to 12,202.73, 18,301.97 and 4,809.26 is: 7,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.73 : 18,301.97 = 4,809.26 : x
  2. Step 2: Convert to fraction form
    12,202.73/18,301.97 = 4,809.26/x
  3. Step 3: Cross multiply
    12,202.73x = 18,301.97 × 4,809.26
  4. Step 4: Simplify right side
    12,202.73x = 88,018,852.76
  5. Step 5: Solve for x
    x = 88,018,852.76/12,202.73
  6. Step 6: Final answer
    x = 7,213.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.