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Finding the Fourth Proportional to 27,594.25, 38,080.07 and 15,019.09

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Solution

The fourth proportional to 27,594.25, 38,080.07 and 15,019.09 is: 20,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.25 : 38,080.07 = 15,019.09 : x
  2. Step 2: Convert to fraction form
    27,594.25/38,080.07 = 15,019.09/x
  3. Step 3: Cross multiply
    27,594.25x = 38,080.07 × 15,019.09
  4. Step 4: Simplify right side
    27,594.25x = 571,927,923.44
  5. Step 5: Solve for x
    x = 571,927,923.44/27,594.25
  6. Step 6: Final answer
    x = 20,726.34

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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.