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Finding the Fourth Proportional to 20,922.24, 28,871 and 11,491.28

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Solution

The fourth proportional to 20,922.24, 28,871 and 11,491.28 is: 15,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,922.24 : 28,871 = 11,491.28 : x
  2. Step 2: Convert to fraction form
    20,922.24/28,871 = 11,491.28/x
  3. Step 3: Cross multiply
    20,922.24x = 28,871 × 11,491.28
  4. Step 4: Simplify right side
    20,922.24x = 331,764,744.88
  5. Step 5: Solve for x
    x = 331,764,744.88/20,922.24
  6. Step 6: Final answer
    x = 15,857.04

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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.