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Finding the Fourth Proportional to 13,068, 19,604.16 and 3,836.16

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Solution

The fourth proportional to 13,068, 19,604.16 and 3,836.16 is: 5,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 19,604.16 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    13,068/19,604.16 = 3,836.16/x
  3. Step 3: Cross multiply
    13,068x = 19,604.16 × 3,836.16
  4. Step 4: Simplify right side
    13,068x = 75,204,694.43
  5. Step 5: Solve for x
    x = 75,204,694.43/13,068
  6. Step 6: Final answer
    x = 5,754.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.