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Finding the Fourth Proportional to 14,832, 20,469.44 and 8,209.28

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Solution

The fourth proportional to 14,832, 20,469.44 and 8,209.28 is: 11,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832 : 20,469.44 = 8,209.28 : x
  2. Step 2: Convert to fraction form
    14,832/20,469.44 = 8,209.28/x
  3. Step 3: Cross multiply
    14,832x = 20,469.44 × 8,209.28
  4. Step 4: Simplify right side
    14,832x = 168,039,364.40
  5. Step 5: Solve for x
    x = 168,039,364.40/14,832
  6. Step 6: Final answer
    x = 11,329.51

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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.