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Finding the Fourth Proportional to 11,082.80, 16,624.20 and 9,697.70

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Solution

The fourth proportional to 11,082.80, 16,624.20 and 9,697.70 is: 14,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.80 : 16,624.20 = 9,697.70 : x
  2. Step 2: Convert to fraction form
    11,082.80/16,624.20 = 9,697.70/x
  3. Step 3: Cross multiply
    11,082.80x = 16,624.20 × 9,697.70
  4. Step 4: Simplify right side
    11,082.80x = 161,216,504.34
  5. Step 5: Solve for x
    x = 161,216,504.34/11,082.80
  6. Step 6: Final answer
    x = 14,546.55

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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.