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Finding the Fourth Proportional to 11,765.20, 17,624.72 and 6,824.46

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Solution

The fourth proportional to 11,765.20, 17,624.72 and 6,824.46 is: 10,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.20 : 17,624.72 = 6,824.46 : x
  2. Step 2: Convert to fraction form
    11,765.20/17,624.72 = 6,824.46/x
  3. Step 3: Cross multiply
    11,765.20x = 17,624.72 × 6,824.46
  4. Step 4: Simplify right side
    11,765.20x = 120,279,196.65
  5. Step 5: Solve for x
    x = 120,279,196.65/11,765.20
  6. Step 6: Final answer
    x = 10,223.30

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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.