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Finding the Fourth Proportional to 22,626.29, 33,939.48 and 6,835.84

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Solution

The fourth proportional to 22,626.29, 33,939.48 and 6,835.84 is: 10,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.29 : 33,939.48 = 6,835.84 : x
  2. Step 2: Convert to fraction form
    22,626.29/33,939.48 = 6,835.84/x
  3. Step 3: Cross multiply
    22,626.29x = 33,939.48 × 6,835.84
  4. Step 4: Simplify right side
    22,626.29x = 232,004,854.96
  5. Step 5: Solve for x
    x = 232,004,854.96/22,626.29
  6. Step 6: Final answer
    x = 10,253.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.