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Finding the Fourth Proportional to 26,863.94, 40,295.83 and 7,142.48

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Solution

The fourth proportional to 26,863.94, 40,295.83 and 7,142.48 is: 10,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863.94 : 40,295.83 = 7,142.48 : x
  2. Step 2: Convert to fraction form
    26,863.94/40,295.83 = 7,142.48/x
  3. Step 3: Cross multiply
    26,863.94x = 40,295.83 × 7,142.48
  4. Step 4: Simplify right side
    26,863.94x = 287,812,159.86
  5. Step 5: Solve for x
    x = 287,812,159.86/26,863.94
  6. Step 6: Final answer
    x = 10,713.70

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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.