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Finding the Fourth Proportional to 17,881.82, 24,665.70 and 11,516.66

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Solution

The fourth proportional to 17,881.82, 24,665.70 and 11,516.66 is: 15,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.82 : 24,665.70 = 11,516.66 : x
  2. Step 2: Convert to fraction form
    17,881.82/24,665.70 = 11,516.66/x
  3. Step 3: Cross multiply
    17,881.82x = 24,665.70 × 11,516.66
  4. Step 4: Simplify right side
    17,881.82x = 284,066,480.56
  5. Step 5: Solve for x
    x = 284,066,480.56/17,881.82
  6. Step 6: Final answer
    x = 15,885.77

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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.