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Finding the Fourth Proportional to 26,863.84, 40,292.56 and 7,143.84

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Solution

The fourth proportional to 26,863.84, 40,292.56 and 7,143.84 is: 10,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863.84 : 40,292.56 = 7,143.84 : x
  2. Step 2: Convert to fraction form
    26,863.84/40,292.56 = 7,143.84/x
  3. Step 3: Cross multiply
    26,863.84x = 40,292.56 × 7,143.84
  4. Step 4: Simplify right side
    26,863.84x = 287,843,601.83
  5. Step 5: Solve for x
    x = 287,843,601.83/26,863.84
  6. Step 6: Final answer
    x = 10,714.91

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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.