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Finding the Fourth Proportional to 20,230.86, 27,918.32 and 11,278.38

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Solution

The fourth proportional to 20,230.86, 27,918.32 and 11,278.38 is: 15,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.86 : 27,918.32 = 11,278.38 : x
  2. Step 2: Convert to fraction form
    20,230.86/27,918.32 = 11,278.38/x
  3. Step 3: Cross multiply
    20,230.86x = 27,918.32 × 11,278.38
  4. Step 4: Simplify right side
    20,230.86x = 314,873,421.92
  5. Step 5: Solve for x
    x = 314,873,421.92/20,230.86
  6. Step 6: Final answer
    x = 15,564.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.