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Finding the Fourth Proportional to 22,619.20, 33,920.67 and 7,824.10

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Solution

The fourth proportional to 22,619.20, 33,920.67 and 7,824.10 is: 11,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.20 : 33,920.67 = 7,824.10 : x
  2. Step 2: Convert to fraction form
    22,619.20/33,920.67 = 7,824.10/x
  3. Step 3: Cross multiply
    22,619.20x = 33,920.67 × 7,824.10
  4. Step 4: Simplify right side
    22,619.20x = 265,398,714.15
  5. Step 5: Solve for x
    x = 265,398,714.15/22,619.20
  6. Step 6: Final answer
    x = 11,733.34

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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.