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Finding the Fourth Proportional to 16,792.38, 23,144.94 and 11,477.97

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Solution

The fourth proportional to 16,792.38, 23,144.94 and 11,477.97 is: 15,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,792.38 : 23,144.94 = 11,477.97 : x
  2. Step 2: Convert to fraction form
    16,792.38/23,144.94 = 11,477.97/x
  3. Step 3: Cross multiply
    16,792.38x = 23,144.94 × 11,477.97
  4. Step 4: Simplify right side
    16,792.38x = 265,656,926.97
  5. Step 5: Solve for x
    x = 265,656,926.97/16,792.38
  6. Step 6: Final answer
    x = 15,820.09

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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.