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Finding the Fourth Proportional to 20,160.66, 27,821.83 and 11,209

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Solution

The fourth proportional to 20,160.66, 27,821.83 and 11,209 is: 15,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.66 : 27,821.83 = 11,209 : x
  2. Step 2: Convert to fraction form
    20,160.66/27,821.83 = 11,209/x
  3. Step 3: Cross multiply
    20,160.66x = 27,821.83 × 11,209
  4. Step 4: Simplify right side
    20,160.66x = 311,854,836.43
  5. Step 5: Solve for x
    x = 311,854,836.43/20,160.66
  6. Step 6: Final answer
    x = 15,468.48

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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.