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Finding the Fourth Proportional to 22,441.44, 33,663.60 and 13,188

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Solution

The fourth proportional to 22,441.44, 33,663.60 and 13,188 is: 19,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,441.44 : 33,663.60 = 13,188 : x
  2. Step 2: Convert to fraction form
    22,441.44/33,663.60 = 13,188/x
  3. Step 3: Cross multiply
    22,441.44x = 33,663.60 × 13,188
  4. Step 4: Simplify right side
    22,441.44x = 443,955,556.80
  5. Step 5: Solve for x
    x = 443,955,556.80/22,441.44
  6. Step 6: Final answer
    x = 19,782.85

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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.