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Finding the Fourth Proportional to 22,196.25, 33,304.70 and 9,714.62

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Solution

The fourth proportional to 22,196.25, 33,304.70 and 9,714.62 is: 14,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.25 : 33,304.70 = 9,714.62 : x
  2. Step 2: Convert to fraction form
    22,196.25/33,304.70 = 9,714.62/x
  3. Step 3: Cross multiply
    22,196.25x = 33,304.70 × 9,714.62
  4. Step 4: Simplify right side
    22,196.25x = 323,542,612.26
  5. Step 5: Solve for x
    x = 323,542,612.26/22,196.25
  6. Step 6: Final answer
    x = 14,576.45

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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.