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Finding the Fourth Proportional to 22,464.92, 33,700.37 and 7,669.86

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Solution

The fourth proportional to 22,464.92, 33,700.37 and 7,669.86 is: 11,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.92 : 33,700.37 = 7,669.86 : x
  2. Step 2: Convert to fraction form
    22,464.92/33,700.37 = 7,669.86/x
  3. Step 3: Cross multiply
    22,464.92x = 33,700.37 × 7,669.86
  4. Step 4: Simplify right side
    22,464.92x = 258,477,081.50
  5. Step 5: Solve for x
    x = 258,477,081.50/22,464.92
  6. Step 6: Final answer
    x = 11,505.81

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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.