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Finding the Fourth Proportional to 13,438.14, 18,544.92 and 7,469.70

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Solution

The fourth proportional to 13,438.14, 18,544.92 and 7,469.70 is: 10,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.14 : 18,544.92 = 7,469.70 : x
  2. Step 2: Convert to fraction form
    13,438.14/18,544.92 = 7,469.70/x
  3. Step 3: Cross multiply
    13,438.14x = 18,544.92 × 7,469.70
  4. Step 4: Simplify right side
    13,438.14x = 138,524,988.92
  5. Step 5: Solve for x
    x = 138,524,988.92/13,438.14
  6. Step 6: Final answer
    x = 10,308.35

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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.