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Finding the Fourth Proportional to 15,713.26, 21,683.49 and 8,638.31

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Solution

The fourth proportional to 15,713.26, 21,683.49 and 8,638.31 is: 11,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.26 : 21,683.49 = 8,638.31 : x
  2. Step 2: Convert to fraction form
    15,713.26/21,683.49 = 8,638.31/x
  3. Step 3: Cross multiply
    15,713.26x = 21,683.49 × 8,638.31
  4. Step 4: Simplify right side
    15,713.26x = 187,308,708.50
  5. Step 5: Solve for x
    x = 187,308,708.50/15,713.26
  6. Step 6: Final answer
    x = 11,920.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.