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Finding the Fourth Proportional to 17,233.89, 25,814.48 and 7,881.77

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Solution

The fourth proportional to 17,233.89, 25,814.48 and 7,881.77 is: 11,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.89 : 25,814.48 = 7,881.77 : x
  2. Step 2: Convert to fraction form
    17,233.89/25,814.48 = 7,881.77/x
  3. Step 3: Cross multiply
    17,233.89x = 25,814.48 × 7,881.77
  4. Step 4: Simplify right side
    17,233.89x = 203,463,625.55
  5. Step 5: Solve for x
    x = 203,463,625.55/17,233.89
  6. Step 6: Final answer
    x = 11,806.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.