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Finding the Fourth Proportional to 13,472, 20,208.72 and 4,238.72

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Solution

The fourth proportional to 13,472, 20,208.72 and 4,238.72 is: 6,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472 : 20,208.72 = 4,238.72 : x
  2. Step 2: Convert to fraction form
    13,472/20,208.72 = 4,238.72/x
  3. Step 3: Cross multiply
    13,472x = 20,208.72 × 4,238.72
  4. Step 4: Simplify right side
    13,472x = 85,659,105.64
  5. Step 5: Solve for x
    x = 85,659,105.64/13,472
  6. Step 6: Final answer
    x = 6,358.31

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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.