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Finding the Fourth Proportional to 12,374.50, 18,515.24 and 8,683.94

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Solution

The fourth proportional to 12,374.50, 18,515.24 and 8,683.94 is: 12,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.50 : 18,515.24 = 8,683.94 : x
  2. Step 2: Convert to fraction form
    12,374.50/18,515.24 = 8,683.94/x
  3. Step 3: Cross multiply
    12,374.50x = 18,515.24 × 8,683.94
  4. Step 4: Simplify right side
    12,374.50x = 160,785,233.25
  5. Step 5: Solve for x
    x = 160,785,233.25/12,374.50
  6. Step 6: Final answer
    x = 12,993.27

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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.