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Finding the Fourth Proportional to 12,431.66, 18,647.50 and 8,524.22

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Solution

The fourth proportional to 12,431.66, 18,647.50 and 8,524.22 is: 12,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.66 : 18,647.50 = 8,524.22 : x
  2. Step 2: Convert to fraction form
    12,431.66/18,647.50 = 8,524.22/x
  3. Step 3: Cross multiply
    12,431.66x = 18,647.50 × 8,524.22
  4. Step 4: Simplify right side
    12,431.66x = 158,955,392.45
  5. Step 5: Solve for x
    x = 158,955,392.45/12,431.66
  6. Step 6: Final answer
    x = 12,786.34

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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.