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Finding the Fourth Proportional to 15,272.26, 22,908.06 and 7,475.62

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Solution

The fourth proportional to 15,272.26, 22,908.06 and 7,475.62 is: 11,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,272.26 : 22,908.06 = 7,475.62 : x
  2. Step 2: Convert to fraction form
    15,272.26/22,908.06 = 7,475.62/x
  3. Step 3: Cross multiply
    15,272.26x = 22,908.06 × 7,475.62
  4. Step 4: Simplify right side
    15,272.26x = 171,251,951.50
  5. Step 5: Solve for x
    x = 171,251,951.50/15,272.26
  6. Step 6: Final answer
    x = 11,213.27

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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.