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Finding the Fourth Proportional to 20,083.83, 27,714.96 and 11,132.16

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Solution

The fourth proportional to 20,083.83, 27,714.96 and 11,132.16 is: 15,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.83 : 27,714.96 = 11,132.16 : x
  2. Step 2: Convert to fraction form
    20,083.83/27,714.96 = 11,132.16/x
  3. Step 3: Cross multiply
    20,083.83x = 27,714.96 × 11,132.16
  4. Step 4: Simplify right side
    20,083.83x = 308,527,369.11
  5. Step 5: Solve for x
    x = 308,527,369.11/20,083.83
  6. Step 6: Final answer
    x = 15,361.98

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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.