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Finding the Fourth Proportional to 17,023.20, 23,490 and 9,467.52

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Solution

The fourth proportional to 17,023.20, 23,490 and 9,467.52 is: 13,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.20 : 23,490 = 9,467.52 : x
  2. Step 2: Convert to fraction form
    17,023.20/23,490 = 9,467.52/x
  3. Step 3: Cross multiply
    17,023.20x = 23,490 × 9,467.52
  4. Step 4: Simplify right side
    17,023.20x = 222,392,044.80
  5. Step 5: Solve for x
    x = 222,392,044.80/17,023.20
  6. Step 6: Final answer
    x = 13,064.06

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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.