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Finding the Fourth Proportional to 20,903.52, 31,299.12 and 11,022.24

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Solution

The fourth proportional to 20,903.52, 31,299.12 and 11,022.24 is: 16,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.52 : 31,299.12 = 11,022.24 : x
  2. Step 2: Convert to fraction form
    20,903.52/31,299.12 = 11,022.24/x
  3. Step 3: Cross multiply
    20,903.52x = 31,299.12 × 11,022.24
  4. Step 4: Simplify right side
    20,903.52x = 344,986,412.43
  5. Step 5: Solve for x
    x = 344,986,412.43/20,903.52
  6. Step 6: Final answer
    x = 16,503.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.