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Finding the Fourth Proportional to 13,438.40, 18,544.17 and 7,469.85

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Solution

The fourth proportional to 13,438.40, 18,544.17 and 7,469.85 is: 10,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.40 : 18,544.17 = 7,469.85 : x
  2. Step 2: Convert to fraction form
    13,438.40/18,544.17 = 7,469.85/x
  3. Step 3: Cross multiply
    13,438.40x = 18,544.17 × 7,469.85
  4. Step 4: Simplify right side
    13,438.40x = 138,522,168.27
  5. Step 5: Solve for x
    x = 138,522,168.27/13,438.40
  6. Step 6: Final answer
    x = 10,307.94

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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.