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Finding the Fourth Proportional to 17,410.20, 24,026 and 9,452.36

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Solution

The fourth proportional to 17,410.20, 24,026 and 9,452.36 is: 13,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.20 : 24,026 = 9,452.36 : x
  2. Step 2: Convert to fraction form
    17,410.20/24,026 = 9,452.36/x
  3. Step 3: Cross multiply
    17,410.20x = 24,026 × 9,452.36
  4. Step 4: Simplify right side
    17,410.20x = 227,102,401.36
  5. Step 5: Solve for x
    x = 227,102,401.36/17,410.20
  6. Step 6: Final answer
    x = 13,044.22

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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.