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Finding the Fourth Proportional to 20,496, 30,744 and 5,904

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Solution

The fourth proportional to 20,496, 30,744 and 5,904 is: 8,856

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496 : 30,744 = 5,904 : x
  2. Step 2: Convert to fraction form
    20,496/30,744 = 5,904/x
  3. Step 3: Cross multiply
    20,496x = 30,744 × 5,904
  4. Step 4: Simplify right side
    20,496x = 181,512,576
  5. Step 5: Solve for x
    x = 181,512,576/20,496
  6. Step 6: Final answer
    x = 8,856

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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.