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Finding the Fourth Proportional to 22,631.22, 33,940.35 and 7,836.30

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Solution

The fourth proportional to 22,631.22, 33,940.35 and 7,836.30 is: 11,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,631.22 : 33,940.35 = 7,836.30 : x
  2. Step 2: Convert to fraction form
    22,631.22/33,940.35 = 7,836.30/x
  3. Step 3: Cross multiply
    22,631.22x = 33,940.35 × 7,836.30
  4. Step 4: Simplify right side
    22,631.22x = 265,966,764.71
  5. Step 5: Solve for x
    x = 265,966,764.71/22,631.22
  6. Step 6: Final answer
    x = 11,752.21

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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.