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Finding the Fourth Proportional to 20,197.53, 27,872.28 and 11,245.77

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Solution

The fourth proportional to 20,197.53, 27,872.28 and 11,245.77 is: 15,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.53 : 27,872.28 = 11,245.77 : x
  2. Step 2: Convert to fraction form
    20,197.53/27,872.28 = 11,245.77/x
  3. Step 3: Cross multiply
    20,197.53x = 27,872.28 × 11,245.77
  4. Step 4: Simplify right side
    20,197.53x = 313,445,250.26
  5. Step 5: Solve for x
    x = 313,445,250.26/20,197.53
  6. Step 6: Final answer
    x = 15,518.99

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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.