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Finding the Fourth Proportional to 12,566.82, 18,850.50 and 3,801.72

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Solution

The fourth proportional to 12,566.82, 18,850.50 and 3,801.72 is: 5,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.82 : 18,850.50 = 3,801.72 : x
  2. Step 2: Convert to fraction form
    12,566.82/18,850.50 = 3,801.72/x
  3. Step 3: Cross multiply
    12,566.82x = 18,850.50 × 3,801.72
  4. Step 4: Simplify right side
    12,566.82x = 71,664,322.86
  5. Step 5: Solve for x
    x = 71,664,322.86/12,566.82
  6. Step 6: Final answer
    x = 5,702.66

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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.