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Finding the Fourth Proportional to 19,800, 27,324 and 10,968

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Solution

The fourth proportional to 19,800, 27,324 and 10,968 is: 15,135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 27,324 = 10,968 : x
  2. Step 2: Convert to fraction form
    19,800/27,324 = 10,968/x
  3. Step 3: Cross multiply
    19,800x = 27,324 × 10,968
  4. Step 4: Simplify right side
    19,800x = 299,689,632
  5. Step 5: Solve for x
    x = 299,689,632/19,800
  6. Step 6: Final answer
    x = 15,135.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.