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Finding the Fourth Proportional to 13,593.27, 20,357.10 and 7,732.11

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Solution

The fourth proportional to 13,593.27, 20,357.10 and 7,732.11 is: 11,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.27 : 20,357.10 = 7,732.11 : x
  2. Step 2: Convert to fraction form
    13,593.27/20,357.10 = 7,732.11/x
  3. Step 3: Cross multiply
    13,593.27x = 20,357.10 × 7,732.11
  4. Step 4: Simplify right side
    13,593.27x = 157,403,336.48
  5. Step 5: Solve for x
    x = 157,403,336.48/13,593.27
  6. Step 6: Final answer
    x = 11,579.50

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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.