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Finding the Fourth Proportional to 37,186.74, 55,777.41 and 12,226.50

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Solution

The fourth proportional to 37,186.74, 55,777.41 and 12,226.50 is: 18,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186.74 : 55,777.41 = 12,226.50 : x
  2. Step 2: Convert to fraction form
    37,186.74/55,777.41 = 12,226.50/x
  3. Step 3: Cross multiply
    37,186.74x = 55,777.41 × 12,226.50
  4. Step 4: Simplify right side
    37,186.74x = 681,962,503.37
  5. Step 5: Solve for x
    x = 681,962,503.37/37,186.74
  6. Step 6: Final answer
    x = 18,338.86

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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.