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Finding the Fourth Proportional to 13,204.78, 19,793.16 and 6,178.87

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Solution

The fourth proportional to 13,204.78, 19,793.16 and 6,178.87 is: 9,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.78 : 19,793.16 = 6,178.87 : x
  2. Step 2: Convert to fraction form
    13,204.78/19,793.16 = 6,178.87/x
  3. Step 3: Cross multiply
    13,204.78x = 19,793.16 × 6,178.87
  4. Step 4: Simplify right side
    13,204.78x = 122,299,362.53
  5. Step 5: Solve for x
    x = 122,299,362.53/13,204.78
  6. Step 6: Final answer
    x = 9,261.75

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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.