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Finding the Fourth Proportional to 24,753, 37,135.34 and 8,337

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Solution

The fourth proportional to 24,753, 37,135.34 and 8,337 is: 12,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,753 : 37,135.34 = 8,337 : x
  2. Step 2: Convert to fraction form
    24,753/37,135.34 = 8,337/x
  3. Step 3: Cross multiply
    24,753x = 37,135.34 × 8,337
  4. Step 4: Simplify right side
    24,753x = 309,597,329.58
  5. Step 5: Solve for x
    x = 309,597,329.58/24,753
  6. Step 6: Final answer
    x = 12,507.47

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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.