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Finding the Fourth Proportional to 23,712, 35,568 and 7,296

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Solution

The fourth proportional to 23,712, 35,568 and 7,296 is: 10,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 35,568 = 7,296 : x
  2. Step 2: Convert to fraction form
    23,712/35,568 = 7,296/x
  3. Step 3: Cross multiply
    23,712x = 35,568 × 7,296
  4. Step 4: Simplify right side
    23,712x = 259,504,128
  5. Step 5: Solve for x
    x = 259,504,128/23,712
  6. Step 6: Final answer
    x = 10,944

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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.