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Finding the Fourth Proportional to 17,770.24, 26,655.22 and 7,237.78

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Solution

The fourth proportional to 17,770.24, 26,655.22 and 7,237.78 is: 10,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.24 : 26,655.22 = 7,237.78 : x
  2. Step 2: Convert to fraction form
    17,770.24/26,655.22 = 7,237.78/x
  3. Step 3: Cross multiply
    17,770.24x = 26,655.22 × 7,237.78
  4. Step 4: Simplify right side
    17,770.24x = 192,924,618.21
  5. Step 5: Solve for x
    x = 192,924,618.21/17,770.24
  6. Step 6: Final answer
    x = 10,856.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.