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Finding the Fourth Proportional to 37,211.40, 55,821.94 and 12,254

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Solution

The fourth proportional to 37,211.40, 55,821.94 and 12,254 is: 18,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,211.40 : 55,821.94 = 12,254 : x
  2. Step 2: Convert to fraction form
    37,211.40/55,821.94 = 12,254/x
  3. Step 3: Cross multiply
    37,211.40x = 55,821.94 × 12,254
  4. Step 4: Simplify right side
    37,211.40x = 684,042,052.76
  5. Step 5: Solve for x
    x = 684,042,052.76/37,211.40
  6. Step 6: Final answer
    x = 18,382.59

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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.