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Finding the Fourth Proportional to 16,967, 25,452.30 and 4,655

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Solution

The fourth proportional to 16,967, 25,452.30 and 4,655 is: 6,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967 : 25,452.30 = 4,655 : x
  2. Step 2: Convert to fraction form
    16,967/25,452.30 = 4,655/x
  3. Step 3: Cross multiply
    16,967x = 25,452.30 × 4,655
  4. Step 4: Simplify right side
    16,967x = 118,480,456.50
  5. Step 5: Solve for x
    x = 118,480,456.50/16,967
  6. Step 6: Final answer
    x = 6,982.99

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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.