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Finding the Fourth Proportional to 12,567.53, 18,850.89 and 3,801.71

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Solution

The fourth proportional to 12,567.53, 18,850.89 and 3,801.71 is: 5,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.53 : 18,850.89 = 3,801.71 : x
  2. Step 2: Convert to fraction form
    12,567.53/18,850.89 = 3,801.71/x
  3. Step 3: Cross multiply
    12,567.53x = 18,850.89 × 3,801.71
  4. Step 4: Simplify right side
    12,567.53x = 71,665,617.02
  5. Step 5: Solve for x
    x = 71,665,617.02/12,567.53
  6. Step 6: Final answer
    x = 5,702.44

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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.