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Finding the Fourth Proportional to 20,172.13, 27,837.54 and 11,340.13

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Solution

The fourth proportional to 20,172.13, 27,837.54 and 11,340.13 is: 15,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.13 : 27,837.54 = 11,340.13 : x
  2. Step 2: Convert to fraction form
    20,172.13/27,837.54 = 11,340.13/x
  3. Step 3: Cross multiply
    20,172.13x = 27,837.54 × 11,340.13
  4. Step 4: Simplify right side
    20,172.13x = 315,681,322.48
  5. Step 5: Solve for x
    x = 315,681,322.48/20,172.13
  6. Step 6: Final answer
    x = 15,649.38

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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.