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Finding the Fourth Proportional to 22,653.20, 33,966.37 and 6,853.44

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Solution

The fourth proportional to 22,653.20, 33,966.37 and 6,853.44 is: 10,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.20 : 33,966.37 = 6,853.44 : x
  2. Step 2: Convert to fraction form
    22,653.20/33,966.37 = 6,853.44/x
  3. Step 3: Cross multiply
    22,653.20x = 33,966.37 × 6,853.44
  4. Step 4: Simplify right side
    22,653.20x = 232,786,614.75
  5. Step 5: Solve for x
    x = 232,786,614.75/22,653.20
  6. Step 6: Final answer
    x = 10,276.10

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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.