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Finding the Fourth Proportional to 13,469, 20,197.98 and 4,700.96

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Solution

The fourth proportional to 13,469, 20,197.98 and 4,700.96 is: 7,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469 : 20,197.98 = 4,700.96 : x
  2. Step 2: Convert to fraction form
    13,469/20,197.98 = 4,700.96/x
  3. Step 3: Cross multiply
    13,469x = 20,197.98 × 4,700.96
  4. Step 4: Simplify right side
    13,469x = 94,949,896.06
  5. Step 5: Solve for x
    x = 94,949,896.06/13,469
  6. Step 6: Final answer
    x = 7,049.51

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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.