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Finding the Fourth Proportional to 27,866.44, 38,458.14 and 15,293.80

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Solution

The fourth proportional to 27,866.44, 38,458.14 and 15,293.80 is: 21,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.44 : 38,458.14 = 15,293.80 : x
  2. Step 2: Convert to fraction form
    27,866.44/38,458.14 = 15,293.80/x
  3. Step 3: Cross multiply
    27,866.44x = 38,458.14 × 15,293.80
  4. Step 4: Simplify right side
    27,866.44x = 588,171,101.53
  5. Step 5: Solve for x
    x = 588,171,101.53/27,866.44
  6. Step 6: Final answer
    x = 21,106.79

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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.