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Finding the Fourth Proportional to 17,881.72, 24,677.94 and 9,923.97

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Solution

The fourth proportional to 17,881.72, 24,677.94 and 9,923.97 is: 13,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.72 : 24,677.94 = 9,923.97 : x
  2. Step 2: Convert to fraction form
    17,881.72/24,677.94 = 9,923.97/x
  3. Step 3: Cross multiply
    17,881.72x = 24,677.94 × 9,923.97
  4. Step 4: Simplify right side
    17,881.72x = 244,903,136.22
  5. Step 5: Solve for x
    x = 244,903,136.22/17,881.72
  6. Step 6: Final answer
    x = 13,695.73

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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.