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Finding the Fourth Proportional to 13,732, 20,593.94 and 4,371.64

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Solution

The fourth proportional to 13,732, 20,593.94 and 4,371.64 is: 6,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732 : 20,593.94 = 4,371.64 : x
  2. Step 2: Convert to fraction form
    13,732/20,593.94 = 4,371.64/x
  3. Step 3: Cross multiply
    13,732x = 20,593.94 × 4,371.64
  4. Step 4: Simplify right side
    13,732x = 90,029,291.86
  5. Step 5: Solve for x
    x = 90,029,291.86/13,732
  6. Step 6: Final answer
    x = 6,556.17

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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.