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Finding the Fourth Proportional to 16,906.81, 25,364.54 and 9,892.73

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Solution

The fourth proportional to 16,906.81, 25,364.54 and 9,892.73 is: 14,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.81 : 25,364.54 = 9,892.73 : x
  2. Step 2: Convert to fraction form
    16,906.81/25,364.54 = 9,892.73/x
  3. Step 3: Cross multiply
    16,906.81x = 25,364.54 × 9,892.73
  4. Step 4: Simplify right side
    16,906.81x = 250,924,479.05
  5. Step 5: Solve for x
    x = 250,924,479.05/16,906.81
  6. Step 6: Final answer
    x = 14,841.62

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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.