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Finding the Fourth Proportional to 38,495.84, 57,745.82 and 12,202.63

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Solution

The fourth proportional to 38,495.84, 57,745.82 and 12,202.63 is: 18,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.84 : 57,745.82 = 12,202.63 : x
  2. Step 2: Convert to fraction form
    38,495.84/57,745.82 = 12,202.63/x
  3. Step 3: Cross multiply
    38,495.84x = 57,745.82 × 12,202.63
  4. Step 4: Simplify right side
    38,495.84x = 704,650,761.65
  5. Step 5: Solve for x
    x = 704,650,761.65/38,495.84
  6. Step 6: Final answer
    x = 18,304.60

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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.