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Finding the Fourth Proportional to 27,634.96, 41,461.76 and 10,990.57

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Solution

The fourth proportional to 27,634.96, 41,461.76 and 10,990.57 is: 16,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.96 : 41,461.76 = 10,990.57 : x
  2. Step 2: Convert to fraction form
    27,634.96/41,461.76 = 10,990.57/x
  3. Step 3: Cross multiply
    27,634.96x = 41,461.76 × 10,990.57
  4. Step 4: Simplify right side
    27,634.96x = 455,688,375.60
  5. Step 5: Solve for x
    x = 455,688,375.60/27,634.96
  6. Step 6: Final answer
    x = 16,489.56

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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.