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Finding the Fourth Proportional to 20,110.78, 27,753.32 and 11,158

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Solution

The fourth proportional to 20,110.78, 27,753.32 and 11,158 is: 15,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110.78 : 27,753.32 = 11,158 : x
  2. Step 2: Convert to fraction form
    20,110.78/27,753.32 = 11,158/x
  3. Step 3: Cross multiply
    20,110.78x = 27,753.32 × 11,158
  4. Step 4: Simplify right side
    20,110.78x = 309,671,544.56
  5. Step 5: Solve for x
    x = 309,671,544.56/20,110.78
  6. Step 6: Final answer
    x = 15,398.29

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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.