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Finding the Fourth Proportional to 12,382.96, 18,576.48 and 6,143.20

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Solution

The fourth proportional to 12,382.96, 18,576.48 and 6,143.20 is: 9,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.96 : 18,576.48 = 6,143.20 : x
  2. Step 2: Convert to fraction form
    12,382.96/18,576.48 = 6,143.20/x
  3. Step 3: Cross multiply
    12,382.96x = 18,576.48 × 6,143.20
  4. Step 4: Simplify right side
    12,382.96x = 114,119,031.94
  5. Step 5: Solve for x
    x = 114,119,031.94/12,382.96
  6. Step 6: Final answer
    x = 9,215.81

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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.