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Finding the Fourth Proportional to 21,243.53, 31,863.21 and 6,452.57

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Solution

The fourth proportional to 21,243.53, 31,863.21 and 6,452.57 is: 9,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.53 : 31,863.21 = 6,452.57 : x
  2. Step 2: Convert to fraction form
    21,243.53/31,863.21 = 6,452.57/x
  3. Step 3: Cross multiply
    21,243.53x = 31,863.21 × 6,452.57
  4. Step 4: Simplify right side
    21,243.53x = 205,599,433.63
  5. Step 5: Solve for x
    x = 205,599,433.63/21,243.53
  6. Step 6: Final answer
    x = 9,678.22

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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.