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Finding the Fourth Proportional to 20,198.64, 27,875.88 and 11,248.14

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Solution

The fourth proportional to 20,198.64, 27,875.88 and 11,248.14 is: 15,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.64 : 27,875.88 = 11,248.14 : x
  2. Step 2: Convert to fraction form
    20,198.64/27,875.88 = 11,248.14/x
  3. Step 3: Cross multiply
    20,198.64x = 27,875.88 × 11,248.14
  4. Step 4: Simplify right side
    20,198.64x = 313,551,800.86
  5. Step 5: Solve for x
    x = 313,551,800.86/20,198.64
  6. Step 6: Final answer
    x = 15,523.41

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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.