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Finding the Fourth Proportional to 16,512, 22,787.36 and 9,796.16

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Solution

The fourth proportional to 16,512, 22,787.36 and 9,796.16 is: 13,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 22,787.36 = 9,796.16 : x
  2. Step 2: Convert to fraction form
    16,512/22,787.36 = 9,796.16/x
  3. Step 3: Cross multiply
    16,512x = 22,787.36 × 9,796.16
  4. Step 4: Simplify right side
    16,512x = 223,228,624.54
  5. Step 5: Solve for x
    x = 223,228,624.54/16,512
  6. Step 6: Final answer
    x = 13,519.18

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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.