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Finding the Fourth Proportional to 17,747.50, 24,493.20 and 10,194.88

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Solution

The fourth proportional to 17,747.50, 24,493.20 and 10,194.88 is: 14,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747.50 : 24,493.20 = 10,194.88 : x
  2. Step 2: Convert to fraction form
    17,747.50/24,493.20 = 10,194.88/x
  3. Step 3: Cross multiply
    17,747.50x = 24,493.20 × 10,194.88
  4. Step 4: Simplify right side
    17,747.50x = 249,705,234.82
  5. Step 5: Solve for x
    x = 249,705,234.82/17,747.50
  6. Step 6: Final answer
    x = 14,069.88

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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.