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Finding the Fourth Proportional to 39,884.76, 59,832.81 and 13,593.78

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Solution

The fourth proportional to 39,884.76, 59,832.81 and 13,593.78 is: 20,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884.76 : 59,832.81 = 13,593.78 : x
  2. Step 2: Convert to fraction form
    39,884.76/59,832.81 = 13,593.78/x
  3. Step 3: Cross multiply
    39,884.76x = 59,832.81 × 13,593.78
  4. Step 4: Simplify right side
    39,884.76x = 813,354,055.92
  5. Step 5: Solve for x
    x = 813,354,055.92/39,884.76
  6. Step 6: Final answer
    x = 20,392.60

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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.