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Finding the Fourth Proportional to 10,824.50, 14,944.70 and 8,839.80

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Solution

The fourth proportional to 10,824.50, 14,944.70 and 8,839.80 is: 12,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.50 : 14,944.70 = 8,839.80 : x
  2. Step 2: Convert to fraction form
    10,824.50/14,944.70 = 8,839.80/x
  3. Step 3: Cross multiply
    10,824.50x = 14,944.70 × 8,839.80
  4. Step 4: Simplify right side
    10,824.50x = 132,108,181.16
  5. Step 5: Solve for x
    x = 132,108,181.16/10,824.50
  6. Step 6: Final answer
    x = 12,204.55

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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.