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Finding the Fourth Proportional to 27,458.64, 41,194.88 and 12,677.92

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Solution

The fourth proportional to 27,458.64, 41,194.88 and 12,677.92 is: 19,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.64 : 41,194.88 = 12,677.92 : x
  2. Step 2: Convert to fraction form
    27,458.64/41,194.88 = 12,677.92/x
  3. Step 3: Cross multiply
    27,458.64x = 41,194.88 × 12,677.92
  4. Step 4: Simplify right side
    27,458.64x = 522,265,393.05
  5. Step 5: Solve for x
    x = 522,265,393.05/27,458.64
  6. Step 6: Final answer
    x = 19,020.08

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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.