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Finding the Fourth Proportional to 22,863.24, 34,297.14 and 9,009

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Solution

The fourth proportional to 22,863.24, 34,297.14 and 9,009 is: 13,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,863.24 : 34,297.14 = 9,009 : x
  2. Step 2: Convert to fraction form
    22,863.24/34,297.14 = 9,009/x
  3. Step 3: Cross multiply
    22,863.24x = 34,297.14 × 9,009
  4. Step 4: Simplify right side
    22,863.24x = 308,982,934.26
  5. Step 5: Solve for x
    x = 308,982,934.26/22,863.24
  6. Step 6: Final answer
    x = 13,514.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.