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Finding the Fourth Proportional to 24,775.86, 37,163.72 and 7,245.66

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Solution

The fourth proportional to 24,775.86, 37,163.72 and 7,245.66 is: 10,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.86 : 37,163.72 = 7,245.66 : x
  2. Step 2: Convert to fraction form
    24,775.86/37,163.72 = 7,245.66/x
  3. Step 3: Cross multiply
    24,775.86x = 37,163.72 × 7,245.66
  4. Step 4: Simplify right side
    24,775.86x = 269,275,679.46
  5. Step 5: Solve for x
    x = 269,275,679.46/24,775.86
  6. Step 6: Final answer
    x = 10,868.47

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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.