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Finding the Fourth Proportional to 13,726.50, 18,942.57 and 7,438.89

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Solution

The fourth proportional to 13,726.50, 18,942.57 and 7,438.89 is: 10,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.50 : 18,942.57 = 7,438.89 : x
  2. Step 2: Convert to fraction form
    13,726.50/18,942.57 = 7,438.89/x
  3. Step 3: Cross multiply
    13,726.50x = 18,942.57 × 7,438.89
  4. Step 4: Simplify right side
    13,726.50x = 140,911,694.55
  5. Step 5: Solve for x
    x = 140,911,694.55/13,726.50
  6. Step 6: Final answer
    x = 10,265.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.