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Finding the Fourth Proportional to 13,532, 20,295.30 and 4,767.28

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Solution

The fourth proportional to 13,532, 20,295.30 and 4,767.28 is: 7,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 20,295.30 = 4,767.28 : x
  2. Step 2: Convert to fraction form
    13,532/20,295.30 = 4,767.28/x
  3. Step 3: Cross multiply
    13,532x = 20,295.30 × 4,767.28
  4. Step 4: Simplify right side
    13,532x = 96,753,377.78
  5. Step 5: Solve for x
    x = 96,753,377.78/13,532
  6. Step 6: Final answer
    x = 7,149.97

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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.