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Finding the Fourth Proportional to 16,837.13, 23,235.11 and 9,180.38

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Solution

The fourth proportional to 16,837.13, 23,235.11 and 9,180.38 is: 12,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837.13 : 23,235.11 = 9,180.38 : x
  2. Step 2: Convert to fraction form
    16,837.13/23,235.11 = 9,180.38/x
  3. Step 3: Cross multiply
    16,837.13x = 23,235.11 × 9,180.38
  4. Step 4: Simplify right side
    16,837.13x = 213,307,151.33
  5. Step 5: Solve for x
    x = 213,307,151.33/16,837.13
  6. Step 6: Final answer
    x = 12,668.85

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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.