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Finding the Fourth Proportional to 13,852.16, 20,773.92 and 4,616

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Solution

The fourth proportional to 13,852.16, 20,773.92 and 4,616 is: 6,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.16 : 20,773.92 = 4,616 : x
  2. Step 2: Convert to fraction form
    13,852.16/20,773.92 = 4,616/x
  3. Step 3: Cross multiply
    13,852.16x = 20,773.92 × 4,616
  4. Step 4: Simplify right side
    13,852.16x = 95,892,414.72
  5. Step 5: Solve for x
    x = 95,892,414.72/13,852.16
  6. Step 6: Final answer
    x = 6,922.56

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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.