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Finding the Fourth Proportional to 24,249, 33,461.22 and 13,638.38

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Solution

The fourth proportional to 24,249, 33,461.22 and 13,638.38 is: 18,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,249 : 33,461.22 = 13,638.38 : x
  2. Step 2: Convert to fraction form
    24,249/33,461.22 = 13,638.38/x
  3. Step 3: Cross multiply
    24,249x = 33,461.22 × 13,638.38
  4. Step 4: Simplify right side
    24,249x = 456,356,833.62
  5. Step 5: Solve for x
    x = 456,356,833.62/24,249
  6. Step 6: Final answer
    x = 18,819.61

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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.