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Finding the Fourth Proportional to 17,923.62, 24,735.51 and 9,966

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Solution

The fourth proportional to 17,923.62, 24,735.51 and 9,966 is: 13,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.62 : 24,735.51 = 9,966 : x
  2. Step 2: Convert to fraction form
    17,923.62/24,735.51 = 9,966/x
  3. Step 3: Cross multiply
    17,923.62x = 24,735.51 × 9,966
  4. Step 4: Simplify right side
    17,923.62x = 246,514,092.66
  5. Step 5: Solve for x
    x = 246,514,092.66/17,923.62
  6. Step 6: Final answer
    x = 13,753.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.