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Finding the Fourth Proportional to 24,339, 33,593.20 and 15,826.32

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Solution

The fourth proportional to 24,339, 33,593.20 and 15,826.32 is: 21,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339 : 33,593.20 = 15,826.32 : x
  2. Step 2: Convert to fraction form
    24,339/33,593.20 = 15,826.32/x
  3. Step 3: Cross multiply
    24,339x = 33,593.20 × 15,826.32
  4. Step 4: Simplify right side
    24,339x = 531,656,733.02
  5. Step 5: Solve for x
    x = 531,656,733.02/24,339
  6. Step 6: Final answer
    x = 21,843.82

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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.