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Finding the Fourth Proportional to 20,103.74, 27,744.41 and 11,607.42

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Solution

The fourth proportional to 20,103.74, 27,744.41 and 11,607.42 is: 16,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.74 : 27,744.41 = 11,607.42 : x
  2. Step 2: Convert to fraction form
    20,103.74/27,744.41 = 11,607.42/x
  3. Step 3: Cross multiply
    20,103.74x = 27,744.41 × 11,607.42
  4. Step 4: Simplify right side
    20,103.74x = 322,041,152.58
  5. Step 5: Solve for x
    x = 322,041,152.58/20,103.74
  6. Step 6: Final answer
    x = 16,018.97

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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.