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Finding the Fourth Proportional to 20,997.88, 28,976 and 11,564.62

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Solution

The fourth proportional to 20,997.88, 28,976 and 11,564.62 is: 15,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.88 : 28,976 = 11,564.62 : x
  2. Step 2: Convert to fraction form
    20,997.88/28,976 = 11,564.62/x
  3. Step 3: Cross multiply
    20,997.88x = 28,976 × 11,564.62
  4. Step 4: Simplify right side
    20,997.88x = 335,096,429.12
  5. Step 5: Solve for x
    x = 335,096,429.12/20,997.88
  6. Step 6: Final answer
    x = 15,958.58

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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.