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Finding the Fourth Proportional to 12,456.36, 18,684 and 3,096.18

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Solution

The fourth proportional to 12,456.36, 18,684 and 3,096.18 is: 4,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.36 : 18,684 = 3,096.18 : x
  2. Step 2: Convert to fraction form
    12,456.36/18,684 = 3,096.18/x
  3. Step 3: Cross multiply
    12,456.36x = 18,684 × 3,096.18
  4. Step 4: Simplify right side
    12,456.36x = 57,849,027.12
  5. Step 5: Solve for x
    x = 57,849,027.12/12,456.36
  6. Step 6: Final answer
    x = 4,644.14

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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.