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Finding the Fourth Proportional to 24,203.38, 33,400.38 and 13,593.10

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Solution

The fourth proportional to 24,203.38, 33,400.38 and 13,593.10 is: 18,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.38 : 33,400.38 = 13,593.10 : x
  2. Step 2: Convert to fraction form
    24,203.38/33,400.38 = 13,593.10/x
  3. Step 3: Cross multiply
    24,203.38x = 33,400.38 × 13,593.10
  4. Step 4: Simplify right side
    24,203.38x = 454,014,705.38
  5. Step 5: Solve for x
    x = 454,014,705.38/24,203.38
  6. Step 6: Final answer
    x = 18,758.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.