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Finding the Fourth Proportional to 20,083.68, 27,715.10 and 11,131.16

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Solution

The fourth proportional to 20,083.68, 27,715.10 and 11,131.16 is: 15,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.68 : 27,715.10 = 11,131.16 : x
  2. Step 2: Convert to fraction form
    20,083.68/27,715.10 = 11,131.16/x
  3. Step 3: Cross multiply
    20,083.68x = 27,715.10 × 11,131.16
  4. Step 4: Simplify right side
    20,083.68x = 308,501,018.28
  5. Step 5: Solve for x
    x = 308,501,018.28/20,083.68
  6. Step 6: Final answer
    x = 15,360.78

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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.