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Finding the Fourth Proportional to 27,015.40, 40,503.90 and 12,231.40

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Solution

The fourth proportional to 27,015.40, 40,503.90 and 12,231.40 is: 18,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015.40 : 40,503.90 = 12,231.40 : x
  2. Step 2: Convert to fraction form
    27,015.40/40,503.90 = 12,231.40/x
  3. Step 3: Cross multiply
    27,015.40x = 40,503.90 × 12,231.40
  4. Step 4: Simplify right side
    27,015.40x = 495,419,402.46
  5. Step 5: Solve for x
    x = 495,419,402.46/27,015.40
  6. Step 6: Final answer
    x = 18,338.41

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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.