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Finding the Fourth Proportional to 21,645.81, 32,474.46 and 6,855.03

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Solution

The fourth proportional to 21,645.81, 32,474.46 and 6,855.03 is: 10,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.81 : 32,474.46 = 6,855.03 : x
  2. Step 2: Convert to fraction form
    21,645.81/32,474.46 = 6,855.03/x
  3. Step 3: Cross multiply
    21,645.81x = 32,474.46 × 6,855.03
  4. Step 4: Simplify right side
    21,645.81x = 222,613,397.53
  5. Step 5: Solve for x
    x = 222,613,397.53/21,645.81
  6. Step 6: Final answer
    x = 10,284.36

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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.