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Finding the Fourth Proportional to 16,983.42, 25,461.90 and 8,094.12

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Solution

The fourth proportional to 16,983.42, 25,461.90 and 8,094.12 is: 12,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.42 : 25,461.90 = 8,094.12 : x
  2. Step 2: Convert to fraction form
    16,983.42/25,461.90 = 8,094.12/x
  3. Step 3: Cross multiply
    16,983.42x = 25,461.90 × 8,094.12
  4. Step 4: Simplify right side
    16,983.42x = 206,091,674.03
  5. Step 5: Solve for x
    x = 206,091,674.03/16,983.42
  6. Step 6: Final answer
    x = 12,134.87

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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.