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Finding the Fourth Proportional to 12,285.55, 16,940.66 and 8,299.74

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Solution

The fourth proportional to 12,285.55, 16,940.66 and 8,299.74 is: 11,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.55 : 16,940.66 = 8,299.74 : x
  2. Step 2: Convert to fraction form
    12,285.55/16,940.66 = 8,299.74/x
  3. Step 3: Cross multiply
    12,285.55x = 16,940.66 × 8,299.74
  4. Step 4: Simplify right side
    12,285.55x = 140,603,073.43
  5. Step 5: Solve for x
    x = 140,603,073.43/12,285.55
  6. Step 6: Final answer
    x = 11,444.59

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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.