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Finding the Fourth Proportional to 12,593.26, 18,865.24 and 9,657.20

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Solution

The fourth proportional to 12,593.26, 18,865.24 and 9,657.20 is: 14,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.26 : 18,865.24 = 9,657.20 : x
  2. Step 2: Convert to fraction form
    12,593.26/18,865.24 = 9,657.20/x
  3. Step 3: Cross multiply
    12,593.26x = 18,865.24 × 9,657.20
  4. Step 4: Simplify right side
    12,593.26x = 182,185,395.73
  5. Step 5: Solve for x
    x = 182,185,395.73/12,593.26
  6. Step 6: Final answer
    x = 14,466.90

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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.