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Finding the Fourth Proportional to 20,997.88, 28,975.14 and 11,564.20

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Solution

The fourth proportional to 20,997.88, 28,975.14 and 11,564.20 is: 15,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.88 : 28,975.14 = 11,564.20 : x
  2. Step 2: Convert to fraction form
    20,997.88/28,975.14 = 11,564.20/x
  3. Step 3: Cross multiply
    20,997.88x = 28,975.14 × 11,564.20
  4. Step 4: Simplify right side
    20,997.88x = 335,074,313.99
  5. Step 5: Solve for x
    x = 335,074,313.99/20,997.88
  6. Step 6: Final answer
    x = 15,957.53

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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.