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Finding the Fourth Proportional to 12,035.66, 18,025.74 and 8,682.66

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Solution

The fourth proportional to 12,035.66, 18,025.74 and 8,682.66 is: 13,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.66 : 18,025.74 = 8,682.66 : x
  2. Step 2: Convert to fraction form
    12,035.66/18,025.74 = 8,682.66/x
  3. Step 3: Cross multiply
    12,035.66x = 18,025.74 × 8,682.66
  4. Step 4: Simplify right side
    12,035.66x = 156,511,371.67
  5. Step 5: Solve for x
    x = 156,511,371.67/12,035.66
  6. Step 6: Final answer
    x = 13,003.98

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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.