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Finding the Fourth Proportional to 12,177.78, 18,266.37 and 3,856.65

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Solution

The fourth proportional to 12,177.78, 18,266.37 and 3,856.65 is: 5,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.78 : 18,266.37 = 3,856.65 : x
  2. Step 2: Convert to fraction form
    12,177.78/18,266.37 = 3,856.65/x
  3. Step 3: Cross multiply
    12,177.78x = 18,266.37 × 3,856.65
  4. Step 4: Simplify right side
    12,177.78x = 70,446,995.86
  5. Step 5: Solve for x
    x = 70,446,995.86/12,177.78
  6. Step 6: Final answer
    x = 5,784.88

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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.