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Finding the Fourth Proportional to 38,497.33, 57,755.15 and 12,202.07

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Solution

The fourth proportional to 38,497.33, 57,755.15 and 12,202.07 is: 18,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.33 : 57,755.15 = 12,202.07 : x
  2. Step 2: Convert to fraction form
    38,497.33/57,755.15 = 12,202.07/x
  3. Step 3: Cross multiply
    38,497.33x = 57,755.15 × 12,202.07
  4. Step 4: Simplify right side
    38,497.33x = 704,732,383.16
  5. Step 5: Solve for x
    x = 704,732,383.16/38,497.33
  6. Step 6: Final answer
    x = 18,306.01

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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.