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Finding the Fourth Proportional to 17,170.96, 25,730.52 and 11,002

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Solution

The fourth proportional to 17,170.96, 25,730.52 and 11,002 is: 16,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.96 : 25,730.52 = 11,002 : x
  2. Step 2: Convert to fraction form
    17,170.96/25,730.52 = 11,002/x
  3. Step 3: Cross multiply
    17,170.96x = 25,730.52 × 11,002
  4. Step 4: Simplify right side
    17,170.96x = 283,087,181.04
  5. Step 5: Solve for x
    x = 283,087,181.04/17,170.96
  6. Step 6: Final answer
    x = 16,486.39

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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.