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Finding the Fourth Proportional to 12,801.30, 19,204.42 and 3,917.22

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Solution

The fourth proportional to 12,801.30, 19,204.42 and 3,917.22 is: 5,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.30 : 19,204.42 = 3,917.22 : x
  2. Step 2: Convert to fraction form
    12,801.30/19,204.42 = 3,917.22/x
  3. Step 3: Cross multiply
    12,801.30x = 19,204.42 × 3,917.22
  4. Step 4: Simplify right side
    12,801.30x = 75,227,938.11
  5. Step 5: Solve for x
    x = 75,227,938.11/12,801.30
  6. Step 6: Final answer
    x = 5,876.59

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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.