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Finding the Fourth Proportional to 17,770.53, 24,524.77 and 10,219.30

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Solution

The fourth proportional to 17,770.53, 24,524.77 and 10,219.30 is: 14,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.53 : 24,524.77 = 10,219.30 : x
  2. Step 2: Convert to fraction form
    17,770.53/24,524.77 = 10,219.30/x
  3. Step 3: Cross multiply
    17,770.53x = 24,524.77 × 10,219.30
  4. Step 4: Simplify right side
    17,770.53x = 250,625,982.06
  5. Step 5: Solve for x
    x = 250,625,982.06/17,770.53
  6. Step 6: Final answer
    x = 14,103.46

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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.