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Finding the Fourth Proportional to 12,812.86, 19,221.30 and 3,453.25

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Solution

The fourth proportional to 12,812.86, 19,221.30 and 3,453.25 is: 5,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.86 : 19,221.30 = 3,453.25 : x
  2. Step 2: Convert to fraction form
    12,812.86/19,221.30 = 3,453.25/x
  3. Step 3: Cross multiply
    12,812.86x = 19,221.30 × 3,453.25
  4. Step 4: Simplify right side
    12,812.86x = 66,375,858.12
  5. Step 5: Solve for x
    x = 66,375,858.12/12,812.86
  6. Step 6: Final answer
    x = 5,180.41

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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.