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Finding the Fourth Proportional to 16,874.56, 25,312.20 and 5,794

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Solution

The fourth proportional to 16,874.56, 25,312.20 and 5,794 is: 8,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.56 : 25,312.20 = 5,794 : x
  2. Step 2: Convert to fraction form
    16,874.56/25,312.20 = 5,794/x
  3. Step 3: Cross multiply
    16,874.56x = 25,312.20 × 5,794
  4. Step 4: Simplify right side
    16,874.56x = 146,658,886.80
  5. Step 5: Solve for x
    x = 146,658,886.80/16,874.56
  6. Step 6: Final answer
    x = 8,691.12

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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.