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Finding the Fourth Proportional to 17,770.85, 24,525.20 and 10,219.62

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Solution

The fourth proportional to 17,770.85, 24,525.20 and 10,219.62 is: 14,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.85 : 24,525.20 = 10,219.62 : x
  2. Step 2: Convert to fraction form
    17,770.85/24,525.20 = 10,219.62/x
  3. Step 3: Cross multiply
    17,770.85x = 24,525.20 × 10,219.62
  4. Step 4: Simplify right side
    17,770.85x = 250,638,173.33
  5. Step 5: Solve for x
    x = 250,638,173.33/17,770.85
  6. Step 6: Final answer
    x = 14,103.90

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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.