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Finding the Fourth Proportional to 21,682.26, 32,528.39 and 8,357.14

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Solution

The fourth proportional to 21,682.26, 32,528.39 and 8,357.14 is: 12,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.26 : 32,528.39 = 8,357.14 : x
  2. Step 2: Convert to fraction form
    21,682.26/32,528.39 = 8,357.14/x
  3. Step 3: Cross multiply
    21,682.26x = 32,528.39 × 8,357.14
  4. Step 4: Simplify right side
    21,682.26x = 271,844,309.20
  5. Step 5: Solve for x
    x = 271,844,309.20/21,682.26
  6. Step 6: Final answer
    x = 12,537.64

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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.