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Finding the Fourth Proportional to 12,141.27, 18,212.98 and 3,709.67

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Solution

The fourth proportional to 12,141.27, 18,212.98 and 3,709.67 is: 5,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.27 : 18,212.98 = 3,709.67 : x
  2. Step 2: Convert to fraction form
    12,141.27/18,212.98 = 3,709.67/x
  3. Step 3: Cross multiply
    12,141.27x = 18,212.98 × 3,709.67
  4. Step 4: Simplify right side
    12,141.27x = 67,564,195.37
  5. Step 5: Solve for x
    x = 67,564,195.37/12,141.27
  6. Step 6: Final answer
    x = 5,564.84

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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.