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Finding the Fourth Proportional to 13,598.73, 18,766.35 and 8,883

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Solution

The fourth proportional to 13,598.73, 18,766.35 and 8,883 is: 12,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.73 : 18,766.35 = 8,883 : x
  2. Step 2: Convert to fraction form
    13,598.73/18,766.35 = 8,883/x
  3. Step 3: Cross multiply
    13,598.73x = 18,766.35 × 8,883
  4. Step 4: Simplify right side
    13,598.73x = 166,701,487.05
  5. Step 5: Solve for x
    x = 166,701,487.05/13,598.73
  6. Step 6: Final answer
    x = 12,258.61

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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.