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Finding the Fourth Proportional to 13,211.97, 18,233.27 and 7,837.59

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Solution

The fourth proportional to 13,211.97, 18,233.27 and 7,837.59 is: 10,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.97 : 18,233.27 = 7,837.59 : x
  2. Step 2: Convert to fraction form
    13,211.97/18,233.27 = 7,837.59/x
  3. Step 3: Cross multiply
    13,211.97x = 18,233.27 × 7,837.59
  4. Step 4: Simplify right side
    13,211.97x = 142,904,854.23
  5. Step 5: Solve for x
    x = 142,904,854.23/13,211.97
  6. Step 6: Final answer
    x = 10,816.32

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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.