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Finding the Fourth Proportional to 11,781.06, 17,638.17 and 10,672.47

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Solution

The fourth proportional to 11,781.06, 17,638.17 and 10,672.47 is: 15,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.06 : 17,638.17 = 10,672.47 : x
  2. Step 2: Convert to fraction form
    11,781.06/17,638.17 = 10,672.47/x
  3. Step 3: Cross multiply
    11,781.06x = 17,638.17 × 10,672.47
  4. Step 4: Simplify right side
    11,781.06x = 188,242,840.18
  5. Step 5: Solve for x
    x = 188,242,840.18/11,781.06
  6. Step 6: Final answer
    x = 15,978.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.