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Finding the Fourth Proportional to 17,853.65, 26,771.86 and 6,753.20

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Solution

The fourth proportional to 17,853.65, 26,771.86 and 6,753.20 is: 10,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.65 : 26,771.86 = 6,753.20 : x
  2. Step 2: Convert to fraction form
    17,853.65/26,771.86 = 6,753.20/x
  3. Step 3: Cross multiply
    17,853.65x = 26,771.86 × 6,753.20
  4. Step 4: Simplify right side
    17,853.65x = 180,795,691.19
  5. Step 5: Solve for x
    x = 180,795,691.19/17,853.65
  6. Step 6: Final answer
    x = 10,126.54

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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.