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Finding the Fourth Proportional to 21,751.98, 32,633.22 and 6,758.64

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Solution

The fourth proportional to 21,751.98, 32,633.22 and 6,758.64 is: 10,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.98 : 32,633.22 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    21,751.98/32,633.22 = 6,758.64/x
  3. Step 3: Cross multiply
    21,751.98x = 32,633.22 × 6,758.64
  4. Step 4: Simplify right side
    21,751.98x = 220,556,186.02
  5. Step 5: Solve for x
    x = 220,556,186.02/21,751.98
  6. Step 6: Final answer
    x = 10,139.59

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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.