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Finding the Fourth Proportional to 11,998.40, 17,999.40 and 3,234

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Solution

The fourth proportional to 11,998.40, 17,999.40 and 3,234 is: 4,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.40 : 17,999.40 = 3,234 : x
  2. Step 2: Convert to fraction form
    11,998.40/17,999.40 = 3,234/x
  3. Step 3: Cross multiply
    11,998.40x = 17,999.40 × 3,234
  4. Step 4: Simplify right side
    11,998.40x = 58,210,059.60
  5. Step 5: Solve for x
    x = 58,210,059.60/11,998.40
  6. Step 6: Final answer
    x = 4,851.49

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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.