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Finding the Fourth Proportional to 20,452.14, 28,223.23 and 11,500.16

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Solution

The fourth proportional to 20,452.14, 28,223.23 and 11,500.16 is: 15,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.14 : 28,223.23 = 11,500.16 : x
  2. Step 2: Convert to fraction form
    20,452.14/28,223.23 = 11,500.16/x
  3. Step 3: Cross multiply
    20,452.14x = 28,223.23 × 11,500.16
  4. Step 4: Simplify right side
    20,452.14x = 324,571,462.10
  5. Step 5: Solve for x
    x = 324,571,462.10/20,452.14
  6. Step 6: Final answer
    x = 15,869.80

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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.