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Finding the Fourth Proportional to 13,631.30, 18,793.82 and 9,147.94

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Solution

The fourth proportional to 13,631.30, 18,793.82 and 9,147.94 is: 12,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.30 : 18,793.82 = 9,147.94 : x
  2. Step 2: Convert to fraction form
    13,631.30/18,793.82 = 9,147.94/x
  3. Step 3: Cross multiply
    13,631.30x = 18,793.82 × 9,147.94
  4. Step 4: Simplify right side
    13,631.30x = 171,924,737.73
  5. Step 5: Solve for x
    x = 171,924,737.73/13,631.30
  6. Step 6: Final answer
    x = 12,612.50

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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.