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Finding the Fourth Proportional to 20,230, 27,917.12 and 11,278.24

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Solution

The fourth proportional to 20,230, 27,917.12 and 11,278.24 is: 15,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230 : 27,917.12 = 11,278.24 : x
  2. Step 2: Convert to fraction form
    20,230/27,917.12 = 11,278.24/x
  3. Step 3: Cross multiply
    20,230x = 27,917.12 × 11,278.24
  4. Step 4: Simplify right side
    20,230x = 314,855,979.47
  5. Step 5: Solve for x
    x = 314,855,979.47/20,230
  6. Step 6: Final answer
    x = 15,563.82

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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.