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Finding the Fourth Proportional to 12,276.36, 18,422.42 and 12,231

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Solution

The fourth proportional to 12,276.36, 18,422.42 and 12,231 is: 18,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.36 : 18,422.42 = 12,231 : x
  2. Step 2: Convert to fraction form
    12,276.36/18,422.42 = 12,231/x
  3. Step 3: Cross multiply
    12,276.36x = 18,422.42 × 12,231
  4. Step 4: Simplify right side
    12,276.36x = 225,324,557.87
  5. Step 5: Solve for x
    x = 225,324,557.87/12,276.36
  6. Step 6: Final answer
    x = 18,354.35

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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.