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Finding the Fourth Proportional to 21,646.53, 32,466.96 and 6,855.57

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Solution

The fourth proportional to 21,646.53, 32,466.96 and 6,855.57 is: 10,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.53 : 32,466.96 = 6,855.57 : x
  2. Step 2: Convert to fraction form
    21,646.53/32,466.96 = 6,855.57/x
  3. Step 3: Cross multiply
    21,646.53x = 32,466.96 × 6,855.57
  4. Step 4: Simplify right side
    21,646.53x = 222,579,516.97
  5. Step 5: Solve for x
    x = 222,579,516.97/21,646.53
  6. Step 6: Final answer
    x = 10,282.46

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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.