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Finding the Fourth Proportional to 15,816.50, 21,824.88 and 8,741.96

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Solution

The fourth proportional to 15,816.50, 21,824.88 and 8,741.96 is: 12,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.50 : 21,824.88 = 8,741.96 : x
  2. Step 2: Convert to fraction form
    15,816.50/21,824.88 = 8,741.96/x
  3. Step 3: Cross multiply
    15,816.50x = 21,824.88 × 8,741.96
  4. Step 4: Simplify right side
    15,816.50x = 190,792,227.96
  5. Step 5: Solve for x
    x = 190,792,227.96/15,816.50
  6. Step 6: Final answer
    x = 12,062.86

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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.