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Finding the Fourth Proportional to 23,760, 35,640 and 7,344

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Solution

The fourth proportional to 23,760, 35,640 and 7,344 is: 11,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760 : 35,640 = 7,344 : x
  2. Step 2: Convert to fraction form
    23,760/35,640 = 7,344/x
  3. Step 3: Cross multiply
    23,760x = 35,640 × 7,344
  4. Step 4: Simplify right side
    23,760x = 261,740,160
  5. Step 5: Solve for x
    x = 261,740,160/23,760
  6. Step 6: Final answer
    x = 11,016

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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.