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Finding the Fourth Proportional to 27,794.63, 41,587.37 and 19,490.86

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Solution

The fourth proportional to 27,794.63, 41,587.37 and 19,490.86 is: 29,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.63 : 41,587.37 = 19,490.86 : x
  2. Step 2: Convert to fraction form
    27,794.63/41,587.37 = 19,490.86/x
  3. Step 3: Cross multiply
    27,794.63x = 41,587.37 × 19,490.86
  4. Step 4: Simplify right side
    27,794.63x = 810,573,405.02
  5. Step 5: Solve for x
    x = 810,573,405.02/27,794.63
  6. Step 6: Final answer
    x = 29,162.96

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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.