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Finding the Fourth Proportional to 22,409.60, 33,619.38 and 6,828.44

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Solution

The fourth proportional to 22,409.60, 33,619.38 and 6,828.44 is: 10,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.60 : 33,619.38 = 6,828.44 : x
  2. Step 2: Convert to fraction form
    22,409.60/33,619.38 = 6,828.44/x
  3. Step 3: Cross multiply
    22,409.60x = 33,619.38 × 6,828.44
  4. Step 4: Simplify right side
    22,409.60x = 229,567,919.17
  5. Step 5: Solve for x
    x = 229,567,919.17/22,409.60
  6. Step 6: Final answer
    x = 10,244.18

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Why These Related Problems?

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