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Finding the Fourth Proportional to 17,863.93, 26,797.11 and 6,178.06

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Solution

The fourth proportional to 17,863.93, 26,797.11 and 6,178.06 is: 9,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.93 : 26,797.11 = 6,178.06 : x
  2. Step 2: Convert to fraction form
    17,863.93/26,797.11 = 6,178.06/x
  3. Step 3: Cross multiply
    17,863.93x = 26,797.11 × 6,178.06
  4. Step 4: Simplify right side
    17,863.93x = 165,554,153.41
  5. Step 5: Solve for x
    x = 165,554,153.41/17,863.93
  6. Step 6: Final answer
    x = 9,267.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.