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Finding the Fourth Proportional to 20,099.64, 27,738.54 and 15,123

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Solution

The fourth proportional to 20,099.64, 27,738.54 and 15,123 is: 20,870.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.64 : 27,738.54 = 15,123 : x
  2. Step 2: Convert to fraction form
    20,099.64/27,738.54 = 15,123/x
  3. Step 3: Cross multiply
    20,099.64x = 27,738.54 × 15,123
  4. Step 4: Simplify right side
    20,099.64x = 419,489,940.42
  5. Step 5: Solve for x
    x = 419,489,940.42/20,099.64
  6. Step 6: Final answer
    x = 20,870.52

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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.