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Finding the Fourth Proportional to 21,754.80, 32,635.41 and 6,965.22

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Solution

The fourth proportional to 21,754.80, 32,635.41 and 6,965.22 is: 10,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.80 : 32,635.41 = 6,965.22 : x
  2. Step 2: Convert to fraction form
    21,754.80/32,635.41 = 6,965.22/x
  3. Step 3: Cross multiply
    21,754.80x = 32,635.41 × 6,965.22
  4. Step 4: Simplify right side
    21,754.80x = 227,312,810.44
  5. Step 5: Solve for x
    x = 227,312,810.44/21,754.80
  6. Step 6: Final answer
    x = 10,448.86

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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.