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Finding the Fourth Proportional to 24,244.98, 36,363.42 and 6,716.58

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Solution

The fourth proportional to 24,244.98, 36,363.42 and 6,716.58 is: 10,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,244.98 : 36,363.42 = 6,716.58 : x
  2. Step 2: Convert to fraction form
    24,244.98/36,363.42 = 6,716.58/x
  3. Step 3: Cross multiply
    24,244.98x = 36,363.42 × 6,716.58
  4. Step 4: Simplify right side
    24,244.98x = 244,237,819.50
  5. Step 5: Solve for x
    x = 244,237,819.50/24,244.98
  6. Step 6: Final answer
    x = 10,073.75

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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.