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Finding the Fourth Proportional to 14,836, 20,474.96 and 8,213.28

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Solution

The fourth proportional to 14,836, 20,474.96 and 8,213.28 is: 11,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836 : 20,474.96 = 8,213.28 : x
  2. Step 2: Convert to fraction form
    14,836/20,474.96 = 8,213.28/x
  3. Step 3: Cross multiply
    14,836x = 20,474.96 × 8,213.28
  4. Step 4: Simplify right side
    14,836x = 168,166,579.47
  5. Step 5: Solve for x
    x = 168,166,579.47/14,836
  6. Step 6: Final answer
    x = 11,335.04

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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.