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Finding the Fourth Proportional to 17,019.70, 23,486.97 and 9,466

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Solution

The fourth proportional to 17,019.70, 23,486.97 and 9,466 is: 13,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.70 : 23,486.97 = 9,466 : x
  2. Step 2: Convert to fraction form
    17,019.70/23,486.97 = 9,466/x
  3. Step 3: Cross multiply
    17,019.70x = 23,486.97 × 9,466
  4. Step 4: Simplify right side
    17,019.70x = 222,327,658.02
  5. Step 5: Solve for x
    x = 222,327,658.02/17,019.70
  6. Step 6: Final answer
    x = 13,062.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.