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Finding the Fourth Proportional to 20,087.70, 27,722.69 and 11,137.86

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Solution

The fourth proportional to 20,087.70, 27,722.69 and 11,137.86 is: 15,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,087.70 : 27,722.69 = 11,137.86 : x
  2. Step 2: Convert to fraction form
    20,087.70/27,722.69 = 11,137.86/x
  3. Step 3: Cross multiply
    20,087.70x = 27,722.69 × 11,137.86
  4. Step 4: Simplify right side
    20,087.70x = 308,771,384.35
  5. Step 5: Solve for x
    x = 308,771,384.35/20,087.70
  6. Step 6: Final answer
    x = 15,371.17

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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.