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Finding the Fourth Proportional to 11,781.76, 17,679.20 and 10,058.24

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Solution

The fourth proportional to 11,781.76, 17,679.20 and 10,058.24 is: 15,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.76 : 17,679.20 = 10,058.24 : x
  2. Step 2: Convert to fraction form
    11,781.76/17,679.20 = 10,058.24/x
  3. Step 3: Cross multiply
    11,781.76x = 17,679.20 × 10,058.24
  4. Step 4: Simplify right side
    11,781.76x = 177,821,636.61
  5. Step 5: Solve for x
    x = 177,821,636.61/11,781.76
  6. Step 6: Final answer
    x = 15,092.96

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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.