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Finding the Fourth Proportional to 12,399.50, 18,576.16 and 6,152.38

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Solution

The fourth proportional to 12,399.50, 18,576.16 and 6,152.38 is: 9,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.50 : 18,576.16 = 6,152.38 : x
  2. Step 2: Convert to fraction form
    12,399.50/18,576.16 = 6,152.38/x
  3. Step 3: Cross multiply
    12,399.50x = 18,576.16 × 6,152.38
  4. Step 4: Simplify right side
    12,399.50x = 114,287,595.26
  5. Step 5: Solve for x
    x = 114,287,595.26/12,399.50
  6. Step 6: Final answer
    x = 9,217.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.