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Finding the Fourth Proportional to 17,853.06, 26,782 and 6,763.62

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Solution

The fourth proportional to 17,853.06, 26,782 and 6,763.62 is: 10,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.06 : 26,782 = 6,763.62 : x
  2. Step 2: Convert to fraction form
    17,853.06/26,782 = 6,763.62/x
  3. Step 3: Cross multiply
    17,853.06x = 26,782 × 6,763.62
  4. Step 4: Simplify right side
    17,853.06x = 181,143,270.84
  5. Step 5: Solve for x
    x = 181,143,270.84/17,853.06
  6. Step 6: Final answer
    x = 10,146.34

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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.