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Finding the Fourth Proportional to 27,164.97, 40,761.29 and 13,137.01

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Solution

The fourth proportional to 27,164.97, 40,761.29 and 13,137.01 is: 19,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.97 : 40,761.29 = 13,137.01 : x
  2. Step 2: Convert to fraction form
    27,164.97/40,761.29 = 13,137.01/x
  3. Step 3: Cross multiply
    27,164.97x = 40,761.29 × 13,137.01
  4. Step 4: Simplify right side
    27,164.97x = 535,481,405.28
  5. Step 5: Solve for x
    x = 535,481,405.28/27,164.97
  6. Step 6: Final answer
    x = 19,712.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.