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Finding the Fourth Proportional to 11,419.98, 17,122.23 and 4,023.48

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Solution

The fourth proportional to 11,419.98, 17,122.23 and 4,023.48 is: 6,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.98 : 17,122.23 = 4,023.48 : x
  2. Step 2: Convert to fraction form
    11,419.98/17,122.23 = 4,023.48/x
  3. Step 3: Cross multiply
    11,419.98x = 17,122.23 × 4,023.48
  4. Step 4: Simplify right side
    11,419.98x = 68,890,949.96
  5. Step 5: Solve for x
    x = 68,890,949.96/11,419.98
  6. Step 6: Final answer
    x = 6,032.49

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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.