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Finding the Fourth Proportional to 21,786.53, 32,680.98 and 6,202.94

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Solution

The fourth proportional to 21,786.53, 32,680.98 and 6,202.94 is: 9,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.53 : 32,680.98 = 6,202.94 : x
  2. Step 2: Convert to fraction form
    21,786.53/32,680.98 = 6,202.94/x
  3. Step 3: Cross multiply
    21,786.53x = 32,680.98 × 6,202.94
  4. Step 4: Simplify right side
    21,786.53x = 202,717,994.68
  5. Step 5: Solve for x
    x = 202,717,994.68/21,786.53
  6. Step 6: Final answer
    x = 9,304.74

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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.