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Finding the Fourth Proportional to 27,682.25, 38,201.51 and 15,107

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Solution

The fourth proportional to 27,682.25, 38,201.51 and 15,107 is: 20,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.25 : 38,201.51 = 15,107 : x
  2. Step 2: Convert to fraction form
    27,682.25/38,201.51 = 15,107/x
  3. Step 3: Cross multiply
    27,682.25x = 38,201.51 × 15,107
  4. Step 4: Simplify right side
    27,682.25x = 577,110,136.04
  5. Step 5: Solve for x
    x = 577,110,136.04/27,682.25
  6. Step 6: Final answer
    x = 20,847.66

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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.