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Finding the Fourth Proportional to 13,082.68, 19,624.25 and 3,722.94

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Solution

The fourth proportional to 13,082.68, 19,624.25 and 3,722.94 is: 5,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.68 : 19,624.25 = 3,722.94 : x
  2. Step 2: Convert to fraction form
    13,082.68/19,624.25 = 3,722.94/x
  3. Step 3: Cross multiply
    13,082.68x = 19,624.25 × 3,722.94
  4. Step 4: Simplify right side
    13,082.68x = 73,059,896.31
  5. Step 5: Solve for x
    x = 73,059,896.31/13,082.68
  6. Step 6: Final answer
    x = 5,584.47

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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.