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Finding the Fourth Proportional to 23,264, 34,907.20 and 11,578.24

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Solution

The fourth proportional to 23,264, 34,907.20 and 11,578.24 is: 17,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264 : 34,907.20 = 11,578.24 : x
  2. Step 2: Convert to fraction form
    23,264/34,907.20 = 11,578.24/x
  3. Step 3: Cross multiply
    23,264x = 34,907.20 × 11,578.24
  4. Step 4: Simplify right side
    23,264x = 404,163,939.33
  5. Step 5: Solve for x
    x = 404,163,939.33/23,264
  6. Step 6: Final answer
    x = 17,372.93

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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.