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Finding the Fourth Proportional to 16,777.38, 23,124.24 and 11,462.97

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Solution

The fourth proportional to 16,777.38, 23,124.24 and 11,462.97 is: 15,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777.38 : 23,124.24 = 11,462.97 : x
  2. Step 2: Convert to fraction form
    16,777.38/23,124.24 = 11,462.97/x
  3. Step 3: Cross multiply
    16,777.38x = 23,124.24 × 11,462.97
  4. Step 4: Simplify right side
    16,777.38x = 265,072,469.39
  5. Step 5: Solve for x
    x = 265,072,469.39/16,777.38
  6. Step 6: Final answer
    x = 15,799.40

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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.