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Finding the Fourth Proportional to 27,458.68, 41,194.86 and 12,677.88

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Solution

The fourth proportional to 27,458.68, 41,194.86 and 12,677.88 is: 19,019.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.68 : 41,194.86 = 12,677.88 : x
  2. Step 2: Convert to fraction form
    27,458.68/41,194.86 = 12,677.88/x
  3. Step 3: Cross multiply
    27,458.68x = 41,194.86 × 12,677.88
  4. Step 4: Simplify right side
    27,458.68x = 522,263,491.70
  5. Step 5: Solve for x
    x = 522,263,491.70/27,458.68
  6. Step 6: Final answer
    x = 19,019.98

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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.