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Finding the Fourth Proportional to 16,843.74, 23,244.54 and 9,290.38

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Solution

The fourth proportional to 16,843.74, 23,244.54 and 9,290.38 is: 12,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.74 : 23,244.54 = 9,290.38 : x
  2. Step 2: Convert to fraction form
    16,843.74/23,244.54 = 9,290.38/x
  3. Step 3: Cross multiply
    16,843.74x = 23,244.54 × 9,290.38
  4. Step 4: Simplify right side
    16,843.74x = 215,950,609.53
  5. Step 5: Solve for x
    x = 215,950,609.53/16,843.74
  6. Step 6: Final answer
    x = 12,820.82

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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.