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Finding the Fourth Proportional to 12,177.78, 18,264.24 and 3,856.38

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Solution

The fourth proportional to 12,177.78, 18,264.24 and 3,856.38 is: 5,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.78 : 18,264.24 = 3,856.38 : x
  2. Step 2: Convert to fraction form
    12,177.78/18,264.24 = 3,856.38/x
  3. Step 3: Cross multiply
    12,177.78x = 18,264.24 × 3,856.38
  4. Step 4: Simplify right side
    12,177.78x = 70,433,849.85
  5. Step 5: Solve for x
    x = 70,433,849.85/12,177.78
  6. Step 6: Final answer
    x = 5,783.80

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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.