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Finding the Fourth Proportional to 22,311.89, 33,470.97 and 6,518.08

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Solution

The fourth proportional to 22,311.89, 33,470.97 and 6,518.08 is: 9,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.89 : 33,470.97 = 6,518.08 : x
  2. Step 2: Convert to fraction form
    22,311.89/33,470.97 = 6,518.08/x
  3. Step 3: Cross multiply
    22,311.89x = 33,470.97 × 6,518.08
  4. Step 4: Simplify right side
    22,311.89x = 218,166,460.14
  5. Step 5: Solve for x
    x = 218,166,460.14/22,311.89
  6. Step 6: Final answer
    x = 9,778.04

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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.