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Finding the Fourth Proportional to 12,177.40, 18,266 and 3,857.42

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Solution

The fourth proportional to 12,177.40, 18,266 and 3,857.42 is: 5,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.40 : 18,266 = 3,857.42 : x
  2. Step 2: Convert to fraction form
    12,177.40/18,266 = 3,857.42/x
  3. Step 3: Cross multiply
    12,177.40x = 18,266 × 3,857.42
  4. Step 4: Simplify right side
    12,177.40x = 70,459,633.72
  5. Step 5: Solve for x
    x = 70,459,633.72/12,177.40
  6. Step 6: Final answer
    x = 5,786.10

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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.