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Finding the Fourth Proportional to 12,152.50, 18,231.99 and 5,996.50

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Solution

The fourth proportional to 12,152.50, 18,231.99 and 5,996.50 is: 8,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.50 : 18,231.99 = 5,996.50 : x
  2. Step 2: Convert to fraction form
    12,152.50/18,231.99 = 5,996.50/x
  3. Step 3: Cross multiply
    12,152.50x = 18,231.99 × 5,996.50
  4. Step 4: Simplify right side
    12,152.50x = 109,328,128.04
  5. Step 5: Solve for x
    x = 109,328,128.04/12,152.50
  6. Step 6: Final answer
    x = 8,996.35

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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.