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Finding the Fourth Proportional to 20,082.74, 27,714.15 and 12,123.41

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Solution

The fourth proportional to 20,082.74, 27,714.15 and 12,123.41 is: 16,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.74 : 27,714.15 = 12,123.41 : x
  2. Step 2: Convert to fraction form
    20,082.74/27,714.15 = 12,123.41/x
  3. Step 3: Cross multiply
    20,082.74x = 27,714.15 × 12,123.41
  4. Step 4: Simplify right side
    20,082.74x = 335,989,864.68
  5. Step 5: Solve for x
    x = 335,989,864.68/20,082.74
  6. Step 6: Final answer
    x = 16,730.28

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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.