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Finding the Fourth Proportional to 17,856.63, 26,786.72 and 6,614.98

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Solution

The fourth proportional to 17,856.63, 26,786.72 and 6,614.98 is: 9,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.63 : 26,786.72 = 6,614.98 : x
  2. Step 2: Convert to fraction form
    17,856.63/26,786.72 = 6,614.98/x
  3. Step 3: Cross multiply
    17,856.63x = 26,786.72 × 6,614.98
  4. Step 4: Simplify right side
    17,856.63x = 177,193,566.64
  5. Step 5: Solve for x
    x = 177,193,566.64/17,856.63
  6. Step 6: Final answer
    x = 9,923.12

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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.