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Finding the Fourth Proportional to 18,206.67, 25,127.10 and 11,137.80

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Solution

The fourth proportional to 18,206.67, 25,127.10 and 11,137.80 is: 15,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.67 : 25,127.10 = 11,137.80 : x
  2. Step 2: Convert to fraction form
    18,206.67/25,127.10 = 11,137.80/x
  3. Step 3: Cross multiply
    18,206.67x = 25,127.10 × 11,137.80
  4. Step 4: Simplify right side
    18,206.67x = 279,860,614.38
  5. Step 5: Solve for x
    x = 279,860,614.38/18,206.67
  6. Step 6: Final answer
    x = 15,371.32

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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.