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Finding the Fourth Proportional to 13,593.91, 20,393.97 and 4,828.81

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Solution

The fourth proportional to 13,593.91, 20,393.97 and 4,828.81 is: 7,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.91 : 20,393.97 = 4,828.81 : x
  2. Step 2: Convert to fraction form
    13,593.91/20,393.97 = 4,828.81/x
  3. Step 3: Cross multiply
    13,593.91x = 20,393.97 × 4,828.81
  4. Step 4: Simplify right side
    13,593.91x = 98,478,606.28
  5. Step 5: Solve for x
    x = 98,478,606.28/13,593.91
  6. Step 6: Final answer
    x = 7,244.32

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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.