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Finding the Fourth Proportional to 12,576.36, 18,864.54 and 3,216.40

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Solution

The fourth proportional to 12,576.36, 18,864.54 and 3,216.40 is: 4,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.36 : 18,864.54 = 3,216.40 : x
  2. Step 2: Convert to fraction form
    12,576.36/18,864.54 = 3,216.40/x
  3. Step 3: Cross multiply
    12,576.36x = 18,864.54 × 3,216.40
  4. Step 4: Simplify right side
    12,576.36x = 60,675,906.46
  5. Step 5: Solve for x
    x = 60,675,906.46/12,576.36
  6. Step 6: Final answer
    x = 4,824.60

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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.