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Finding the Fourth Proportional to 20,172.81, 27,839.16 and 11,098.56

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Solution

The fourth proportional to 20,172.81, 27,839.16 and 11,098.56 is: 15,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.81 : 27,839.16 = 11,098.56 : x
  2. Step 2: Convert to fraction form
    20,172.81/27,839.16 = 11,098.56/x
  3. Step 3: Cross multiply
    20,172.81x = 27,839.16 × 11,098.56
  4. Step 4: Simplify right side
    20,172.81x = 308,974,587.61
  5. Step 5: Solve for x
    x = 308,974,587.61/20,172.81
  6. Step 6: Final answer
    x = 15,316.39

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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.