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Finding the Fourth Proportional to 12,576.09, 18,864.18 and 4,256.19

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Solution

The fourth proportional to 12,576.09, 18,864.18 and 4,256.19 is: 6,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.09 : 18,864.18 = 4,256.19 : x
  2. Step 2: Convert to fraction form
    12,576.09/18,864.18 = 4,256.19/x
  3. Step 3: Cross multiply
    12,576.09x = 18,864.18 × 4,256.19
  4. Step 4: Simplify right side
    12,576.09x = 80,289,534.27
  5. Step 5: Solve for x
    x = 80,289,534.27/12,576.09
  6. Step 6: Final answer
    x = 6,384.30

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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.