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Finding the Fourth Proportional to 24,206.92, 36,294.86 and 9,403.68

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Solution

The fourth proportional to 24,206.92, 36,294.86 and 9,403.68 is: 14,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.92 : 36,294.86 = 9,403.68 : x
  2. Step 2: Convert to fraction form
    24,206.92/36,294.86 = 9,403.68/x
  3. Step 3: Cross multiply
    24,206.92x = 36,294.86 × 9,403.68
  4. Step 4: Simplify right side
    24,206.92x = 341,305,249.08
  5. Step 5: Solve for x
    x = 341,305,249.08/24,206.92
  6. Step 6: Final answer
    x = 14,099.49

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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.