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Finding the Fourth Proportional to 20,288.57, 27,997.70 and 11,336.14

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Solution

The fourth proportional to 20,288.57, 27,997.70 and 11,336.14 is: 15,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.57 : 27,997.70 = 11,336.14 : x
  2. Step 2: Convert to fraction form
    20,288.57/27,997.70 = 11,336.14/x
  3. Step 3: Cross multiply
    20,288.57x = 27,997.70 × 11,336.14
  4. Step 4: Simplify right side
    20,288.57x = 317,385,846.88
  5. Step 5: Solve for x
    x = 317,385,846.88/20,288.57
  6. Step 6: Final answer
    x = 15,643.58

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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.