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Finding the Fourth Proportional to 27,678.42, 41,517.77 and 6,901.92

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Solution

The fourth proportional to 27,678.42, 41,517.77 and 6,901.92 is: 10,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.42 : 41,517.77 = 6,901.92 : x
  2. Step 2: Convert to fraction form
    27,678.42/41,517.77 = 6,901.92/x
  3. Step 3: Cross multiply
    27,678.42x = 41,517.77 × 6,901.92
  4. Step 4: Simplify right side
    27,678.42x = 286,552,327.12
  5. Step 5: Solve for x
    x = 286,552,327.12/27,678.42
  6. Step 6: Final answer
    x = 10,352.91

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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.