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Finding the Fourth Proportional to 27,682.53, 38,201.94 and 15,107.28

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Solution

The fourth proportional to 27,682.53, 38,201.94 and 15,107.28 is: 20,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.53 : 38,201.94 = 15,107.28 : x
  2. Step 2: Convert to fraction form
    27,682.53/38,201.94 = 15,107.28/x
  3. Step 3: Cross multiply
    27,682.53x = 38,201.94 × 15,107.28
  4. Step 4: Simplify right side
    27,682.53x = 577,127,404.12
  5. Step 5: Solve for x
    x = 577,127,404.12/27,682.53
  6. Step 6: Final answer
    x = 20,848.07

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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.