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Finding the Fourth Proportional to 20,200.68, 27,876.62 and 11,248.16

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Solution

The fourth proportional to 20,200.68, 27,876.62 and 11,248.16 is: 15,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.68 : 27,876.62 = 11,248.16 : x
  2. Step 2: Convert to fraction form
    20,200.68/27,876.62 = 11,248.16/x
  3. Step 3: Cross multiply
    20,200.68x = 27,876.62 × 11,248.16
  4. Step 4: Simplify right side
    20,200.68x = 313,560,682.02
  5. Step 5: Solve for x
    x = 313,560,682.02/20,200.68
  6. Step 6: Final answer
    x = 15,522.28

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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.