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Finding the Fourth Proportional to 27,818.16, 41,736.96 and 12,237

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Solution

The fourth proportional to 27,818.16, 41,736.96 and 12,237 is: 18,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.16 : 41,736.96 = 12,237 : x
  2. Step 2: Convert to fraction form
    27,818.16/41,736.96 = 12,237/x
  3. Step 3: Cross multiply
    27,818.16x = 41,736.96 × 12,237
  4. Step 4: Simplify right side
    27,818.16x = 510,735,179.52
  5. Step 5: Solve for x
    x = 510,735,179.52/27,818.16
  6. Step 6: Final answer
    x = 18,359.78

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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.