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Finding the Fourth Proportional to 20,082.26, 27,714.23 and 12,122.93

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Solution

The fourth proportional to 20,082.26, 27,714.23 and 12,122.93 is: 16,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.26 : 27,714.23 = 12,122.93 : x
  2. Step 2: Convert to fraction form
    20,082.26/27,714.23 = 12,122.93/x
  3. Step 3: Cross multiply
    20,082.26x = 27,714.23 × 12,122.93
  4. Step 4: Simplify right side
    20,082.26x = 335,977,670.29
  5. Step 5: Solve for x
    x = 335,977,670.29/20,082.26
  6. Step 6: Final answer
    x = 16,730.07

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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.