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Finding the Fourth Proportional to 27,676.88, 38,193.89 and 15,740.20

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Solution

The fourth proportional to 27,676.88, 38,193.89 and 15,740.20 is: 21,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.88 : 38,193.89 = 15,740.20 : x
  2. Step 2: Convert to fraction form
    27,676.88/38,193.89 = 15,740.20/x
  3. Step 3: Cross multiply
    27,676.88x = 38,193.89 × 15,740.20
  4. Step 4: Simplify right side
    27,676.88x = 601,179,293.19
  5. Step 5: Solve for x
    x = 601,179,293.19/27,676.88
  6. Step 6: Final answer
    x = 21,721.36

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1.5x scale

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.