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Finding the Fourth Proportional to 17,853.50, 26,783.28 and 6,163.98

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Solution

The fourth proportional to 17,853.50, 26,783.28 and 6,163.98 is: 9,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.50 : 26,783.28 = 6,163.98 : x
  2. Step 2: Convert to fraction form
    17,853.50/26,783.28 = 6,163.98/x
  3. Step 3: Cross multiply
    17,853.50x = 26,783.28 × 6,163.98
  4. Step 4: Simplify right side
    17,853.50x = 165,091,602.25
  5. Step 5: Solve for x
    x = 165,091,602.25/17,853.50
  6. Step 6: Final answer
    x = 9,247.02

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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.