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Finding the Fourth Proportional to 12,103.61, 18,157.26 and 6,177.27

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Solution

The fourth proportional to 12,103.61, 18,157.26 and 6,177.27 is: 9,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.61 : 18,157.26 = 6,177.27 : x
  2. Step 2: Convert to fraction form
    12,103.61/18,157.26 = 6,177.27/x
  3. Step 3: Cross multiply
    12,103.61x = 18,157.26 × 6,177.27
  4. Step 4: Simplify right side
    12,103.61x = 112,162,206.69
  5. Step 5: Solve for x
    x = 112,162,206.69/12,103.61
  6. Step 6: Final answer
    x = 9,266.84

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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.