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Finding the Fourth Proportional to 27,682.80, 38,202.18 and 15,107.58

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Solution

The fourth proportional to 27,682.80, 38,202.18 and 15,107.58 is: 20,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.80 : 38,202.18 = 15,107.58 : x
  2. Step 2: Convert to fraction form
    27,682.80/38,202.18 = 15,107.58/x
  3. Step 3: Cross multiply
    27,682.80x = 38,202.18 × 15,107.58
  4. Step 4: Simplify right side
    27,682.80x = 577,142,490.52
  5. Step 5: Solve for x
    x = 577,142,490.52/27,682.80
  6. Step 6: Final answer
    x = 20,848.41

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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.