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Finding the Fourth Proportional to 23,930, 35,896.44 and 7,514

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Solution

The fourth proportional to 23,930, 35,896.44 and 7,514 is: 11,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 35,896.44 = 7,514 : x
  2. Step 2: Convert to fraction form
    23,930/35,896.44 = 7,514/x
  3. Step 3: Cross multiply
    23,930x = 35,896.44 × 7,514
  4. Step 4: Simplify right side
    23,930x = 269,725,850.16
  5. Step 5: Solve for x
    x = 269,725,850.16/23,930
  6. Step 6: Final answer
    x = 11,271.45

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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.