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Finding the Fourth Proportional to 20,107.69, 27,717.92 and 15,851.14

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Solution

The fourth proportional to 20,107.69, 27,717.92 and 15,851.14 is: 21,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.69 : 27,717.92 = 15,851.14 : x
  2. Step 2: Convert to fraction form
    20,107.69/27,717.92 = 15,851.14/x
  3. Step 3: Cross multiply
    20,107.69x = 27,717.92 × 15,851.14
  4. Step 4: Simplify right side
    20,107.69x = 439,360,741.81
  5. Step 5: Solve for x
    x = 439,360,741.81/20,107.69
  6. Step 6: Final answer
    x = 21,850.38

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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.