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Finding the Fourth Proportional to 17,006.14, 23,468.43 and 9,452.44

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Solution

The fourth proportional to 17,006.14, 23,468.43 and 9,452.44 is: 13,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.14 : 23,468.43 = 9,452.44 : x
  2. Step 2: Convert to fraction form
    17,006.14/23,468.43 = 9,452.44/x
  3. Step 3: Cross multiply
    17,006.14x = 23,468.43 × 9,452.44
  4. Step 4: Simplify right side
    17,006.14x = 221,833,926.47
  5. Step 5: Solve for x
    x = 221,833,926.47/17,006.14
  6. Step 6: Final answer
    x = 13,044.34

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