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Finding the Fourth Proportional to 12,202.85, 18,304.58 and 3,437.44

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Solution

The fourth proportional to 12,202.85, 18,304.58 and 3,437.44 is: 5,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.85 : 18,304.58 = 3,437.44 : x
  2. Step 2: Convert to fraction form
    12,202.85/18,304.58 = 3,437.44/x
  3. Step 3: Cross multiply
    12,202.85x = 18,304.58 × 3,437.44
  4. Step 4: Simplify right side
    12,202.85x = 62,920,858.31
  5. Step 5: Solve for x
    x = 62,920,858.31/12,202.85
  6. Step 6: Final answer
    x = 5,156.24

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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.