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Finding the Fourth Proportional to 27,684.88, 38,205.26 and 15,109.63

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Solution

The fourth proportional to 27,684.88, 38,205.26 and 15,109.63 is: 20,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.88 : 38,205.26 = 15,109.63 : x
  2. Step 2: Convert to fraction form
    27,684.88/38,205.26 = 15,109.63/x
  3. Step 3: Cross multiply
    27,684.88x = 38,205.26 × 15,109.63
  4. Step 4: Simplify right side
    27,684.88x = 577,267,342.65
  5. Step 5: Solve for x
    x = 577,267,342.65/27,684.88
  6. Step 6: Final answer
    x = 20,851.36

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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.