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Finding the Fourth Proportional to 11,596.96, 17,311.52 and 10,195.72

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Solution

The fourth proportional to 11,596.96, 17,311.52 and 10,195.72 is: 15,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.96 : 17,311.52 = 10,195.72 : x
  2. Step 2: Convert to fraction form
    11,596.96/17,311.52 = 10,195.72/x
  3. Step 3: Cross multiply
    11,596.96x = 17,311.52 × 10,195.72
  4. Step 4: Simplify right side
    11,596.96x = 176,503,410.69
  5. Step 5: Solve for x
    x = 176,503,410.69/11,596.96
  6. Step 6: Final answer
    x = 15,219.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.