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Finding the Fourth Proportional to 22,306.34, 33,464.46 and 6,722.84

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Solution

The fourth proportional to 22,306.34, 33,464.46 and 6,722.84 is: 10,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.34 : 33,464.46 = 6,722.84 : x
  2. Step 2: Convert to fraction form
    22,306.34/33,464.46 = 6,722.84/x
  3. Step 3: Cross multiply
    22,306.34x = 33,464.46 × 6,722.84
  4. Step 4: Simplify right side
    22,306.34x = 224,976,210.27
  5. Step 5: Solve for x
    x = 224,976,210.27/22,306.34
  6. Step 6: Final answer
    x = 10,085.75

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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.