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Finding the Fourth Proportional to 13,438.09, 18,545.25 and 7,469.88

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Solution

The fourth proportional to 13,438.09, 18,545.25 and 7,469.88 is: 10,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.09 : 18,545.25 = 7,469.88 : x
  2. Step 2: Convert to fraction form
    13,438.09/18,545.25 = 7,469.88/x
  3. Step 3: Cross multiply
    13,438.09x = 18,545.25 × 7,469.88
  4. Step 4: Simplify right side
    13,438.09x = 138,530,792.07
  5. Step 5: Solve for x
    x = 138,530,792.07/13,438.09
  6. Step 6: Final answer
    x = 10,308.82

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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.