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Finding the Fourth Proportional to 11,318.86, 16,996.05 and 9,586.57

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Solution

The fourth proportional to 11,318.86, 16,996.05 and 9,586.57 is: 14,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.86 : 16,996.05 = 9,586.57 : x
  2. Step 2: Convert to fraction form
    11,318.86/16,996.05 = 9,586.57/x
  3. Step 3: Cross multiply
    11,318.86x = 16,996.05 × 9,586.57
  4. Step 4: Simplify right side
    11,318.86x = 162,933,780.56
  5. Step 5: Solve for x
    x = 162,933,780.56/11,318.86
  6. Step 6: Final answer
    x = 14,394.90

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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.