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Finding the Fourth Proportional to 27,878.40, 41,804.16 and 16,194.96

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Solution

The fourth proportional to 27,878.40, 41,804.16 and 16,194.96 is: 24,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.40 : 41,804.16 = 16,194.96 : x
  2. Step 2: Convert to fraction form
    27,878.40/41,804.16 = 16,194.96/x
  3. Step 3: Cross multiply
    27,878.40x = 41,804.16 × 16,194.96
  4. Step 4: Simplify right side
    27,878.40x = 677,016,699.03
  5. Step 5: Solve for x
    x = 677,016,699.03/27,878.40
  6. Step 6: Final answer
    x = 24,284.63

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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.