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Finding the Fourth Proportional to 20,991.30, 28,967.71 and 11,431.09

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Solution

The fourth proportional to 20,991.30, 28,967.71 and 11,431.09 is: 15,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.30 : 28,967.71 = 11,431.09 : x
  2. Step 2: Convert to fraction form
    20,991.30/28,967.71 = 11,431.09/x
  3. Step 3: Cross multiply
    20,991.30x = 28,967.71 × 11,431.09
  4. Step 4: Simplify right side
    20,991.30x = 331,132,500.10
  5. Step 5: Solve for x
    x = 331,132,500.10/20,991.30
  6. Step 6: Final answer
    x = 15,774.75

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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.