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Finding the Fourth Proportional to 21,836.16, 32,754.06 and 6,253.80

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Solution

The fourth proportional to 21,836.16, 32,754.06 and 6,253.80 is: 9,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,836.16 : 32,754.06 = 6,253.80 : x
  2. Step 2: Convert to fraction form
    21,836.16/32,754.06 = 6,253.80/x
  3. Step 3: Cross multiply
    21,836.16x = 32,754.06 × 6,253.80
  4. Step 4: Simplify right side
    21,836.16x = 204,837,340.43
  5. Step 5: Solve for x
    x = 204,837,340.43/21,836.16
  6. Step 6: Final answer
    x = 9,380.65

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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.