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Finding the Fourth Proportional to 13,503.80, 20,227.68 and 11,416.52

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Solution

The fourth proportional to 13,503.80, 20,227.68 and 11,416.52 is: 17,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.80 : 20,227.68 = 11,416.52 : x
  2. Step 2: Convert to fraction form
    13,503.80/20,227.68 = 11,416.52/x
  3. Step 3: Cross multiply
    13,503.80x = 20,227.68 × 11,416.52
  4. Step 4: Simplify right side
    13,503.80x = 230,929,713.27
  5. Step 5: Solve for x
    x = 230,929,713.27/13,503.80
  6. Step 6: Final answer
    x = 17,101.09

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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.