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Finding the Fourth Proportional to 20,062.21, 27,682.59 and 11,564.68

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Solution

The fourth proportional to 20,062.21, 27,682.59 and 11,564.68 is: 15,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.21 : 27,682.59 = 11,564.68 : x
  2. Step 2: Convert to fraction form
    20,062.21/27,682.59 = 11,564.68/x
  3. Step 3: Cross multiply
    20,062.21x = 27,682.59 × 11,564.68
  4. Step 4: Simplify right side
    20,062.21x = 320,140,294.92
  5. Step 5: Solve for x
    x = 320,140,294.92/20,062.21
  6. Step 6: Final answer
    x = 15,957.38

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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.