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Finding the Fourth Proportional to 13,208.47, 18,227.13 and 7,906.21

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Solution

The fourth proportional to 13,208.47, 18,227.13 and 7,906.21 is: 10,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.47 : 18,227.13 = 7,906.21 : x
  2. Step 2: Convert to fraction form
    13,208.47/18,227.13 = 7,906.21/x
  3. Step 3: Cross multiply
    13,208.47x = 18,227.13 × 7,906.21
  4. Step 4: Simplify right side
    13,208.47x = 144,107,442.26
  5. Step 5: Solve for x
    x = 144,107,442.26/13,208.47
  6. Step 6: Final answer
    x = 10,910.23

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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.