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Finding the Fourth Proportional to 20,820, 28,745.48 and 12,324.84

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Solution

The fourth proportional to 20,820, 28,745.48 and 12,324.84 is: 17,016.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 28,745.48 = 12,324.84 : x
  2. Step 2: Convert to fraction form
    20,820/28,745.48 = 12,324.84/x
  3. Step 3: Cross multiply
    20,820x = 28,745.48 × 12,324.84
  4. Step 4: Simplify right side
    20,820x = 354,283,380.10
  5. Step 5: Solve for x
    x = 354,283,380.10/20,820
  6. Step 6: Final answer
    x = 17,016.49

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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.