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Finding the Fourth Proportional to 12,243.44, 18,398.28 and 6,404.36

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Solution

The fourth proportional to 12,243.44, 18,398.28 and 6,404.36 is: 9,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.44 : 18,398.28 = 6,404.36 : x
  2. Step 2: Convert to fraction form
    12,243.44/18,398.28 = 6,404.36/x
  3. Step 3: Cross multiply
    12,243.44x = 18,398.28 × 6,404.36
  4. Step 4: Simplify right side
    12,243.44x = 117,829,208.50
  5. Step 5: Solve for x
    x = 117,829,208.50/12,243.44
  6. Step 6: Final answer
    x = 9,623.86

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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.