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Finding the Fourth Proportional to 16,498.04, 22,767.46 and 8,944.38

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Solution

The fourth proportional to 16,498.04, 22,767.46 and 8,944.38 is: 12,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.04 : 22,767.46 = 8,944.38 : x
  2. Step 2: Convert to fraction form
    16,498.04/22,767.46 = 8,944.38/x
  3. Step 3: Cross multiply
    16,498.04x = 22,767.46 × 8,944.38
  4. Step 4: Simplify right side
    16,498.04x = 203,640,791.51
  5. Step 5: Solve for x
    x = 203,640,791.51/16,498.04
  6. Step 6: Final answer
    x = 12,343.34

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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.