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Finding the Fourth Proportional to 20,083.65, 27,714.96 and 11,585.77

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Solution

The fourth proportional to 20,083.65, 27,714.96 and 11,585.77 is: 15,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.65 : 27,714.96 = 11,585.77 : x
  2. Step 2: Convert to fraction form
    20,083.65/27,714.96 = 11,585.77/x
  3. Step 3: Cross multiply
    20,083.65x = 27,714.96 × 11,585.77
  4. Step 4: Simplify right side
    20,083.65x = 321,099,082.83
  5. Step 5: Solve for x
    x = 321,099,082.83/20,083.65
  6. Step 6: Final answer
    x = 15,988.09

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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.