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Finding the Fourth Proportional to 12,138.94, 16,765.76 and 8,098.74

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Solution

The fourth proportional to 12,138.94, 16,765.76 and 8,098.74 is: 11,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.94 : 16,765.76 = 8,098.74 : x
  2. Step 2: Convert to fraction form
    12,138.94/16,765.76 = 8,098.74/x
  3. Step 3: Cross multiply
    12,138.94x = 16,765.76 × 8,098.74
  4. Step 4: Simplify right side
    12,138.94x = 135,781,583.89
  5. Step 5: Solve for x
    x = 135,781,583.89/12,138.94
  6. Step 6: Final answer
    x = 11,185.62

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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.