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Finding the Fourth Proportional to 27,594.38, 38,080.05 and 15,019.13

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Solution

The fourth proportional to 27,594.38, 38,080.05 and 15,019.13 is: 20,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,594.38 : 38,080.05 = 15,019.13 : x
  2. Step 2: Convert to fraction form
    27,594.38/38,080.05 = 15,019.13/x
  3. Step 3: Cross multiply
    27,594.38x = 38,080.05 × 15,019.13
  4. Step 4: Simplify right side
    27,594.38x = 571,929,221.36
  5. Step 5: Solve for x
    x = 571,929,221.36/27,594.38
  6. Step 6: Final answer
    x = 20,726.29

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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.