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Finding the Fourth Proportional to 22,917.21, 34,375.77 and 6,277.38

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Solution

The fourth proportional to 22,917.21, 34,375.77 and 6,277.38 is: 9,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.21 : 34,375.77 = 6,277.38 : x
  2. Step 2: Convert to fraction form
    22,917.21/34,375.77 = 6,277.38/x
  3. Step 3: Cross multiply
    22,917.21x = 34,375.77 × 6,277.38
  4. Step 4: Simplify right side
    22,917.21x = 215,789,771.08
  5. Step 5: Solve for x
    x = 215,789,771.08/22,917.21
  6. Step 6: Final answer
    x = 9,416.06

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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.