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Finding the Fourth Proportional to 17,213.92, 25,846.80 and 9,826.72

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Solution

The fourth proportional to 17,213.92, 25,846.80 and 9,826.72 is: 14,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.92 : 25,846.80 = 9,826.72 : x
  2. Step 2: Convert to fraction form
    17,213.92/25,846.80 = 9,826.72/x
  3. Step 3: Cross multiply
    17,213.92x = 25,846.80 × 9,826.72
  4. Step 4: Simplify right side
    17,213.92x = 253,989,266.50
  5. Step 5: Solve for x
    x = 253,989,266.50/17,213.92
  6. Step 6: Final answer
    x = 14,754.88

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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.