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Finding the Fourth Proportional to 17,883.18, 26,825.34 and 8,524.22

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Solution

The fourth proportional to 17,883.18, 26,825.34 and 8,524.22 is: 12,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.18 : 26,825.34 = 8,524.22 : x
  2. Step 2: Convert to fraction form
    17,883.18/26,825.34 = 8,524.22/x
  3. Step 3: Cross multiply
    17,883.18x = 26,825.34 × 8,524.22
  4. Step 4: Simplify right side
    17,883.18x = 228,665,011.36
  5. Step 5: Solve for x
    x = 228,665,011.36/17,883.18
  6. Step 6: Final answer
    x = 12,786.59

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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.