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Finding the Fourth Proportional to 16,842.38, 23,225.28 and 11,175.14

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Solution

The fourth proportional to 16,842.38, 23,225.28 and 11,175.14 is: 15,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.38 : 23,225.28 = 11,175.14 : x
  2. Step 2: Convert to fraction form
    16,842.38/23,225.28 = 11,175.14/x
  3. Step 3: Cross multiply
    16,842.38x = 23,225.28 × 11,175.14
  4. Step 4: Simplify right side
    16,842.38x = 259,545,755.54
  5. Step 5: Solve for x
    x = 259,545,755.54/16,842.38
  6. Step 6: Final answer
    x = 15,410.28

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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.