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Finding the Fourth Proportional to 24,841.21, 37,265.52 and 8,203

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Solution

The fourth proportional to 24,841.21, 37,265.52 and 8,203 is: 12,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.21 : 37,265.52 = 8,203 : x
  2. Step 2: Convert to fraction form
    24,841.21/37,265.52 = 8,203/x
  3. Step 3: Cross multiply
    24,841.21x = 37,265.52 × 8,203
  4. Step 4: Simplify right side
    24,841.21x = 305,689,060.56
  5. Step 5: Solve for x
    x = 305,689,060.56/24,841.21
  6. Step 6: Final answer
    x = 12,305.72

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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.