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Finding the Fourth Proportional to 21,120.44, 29,145 and 11,688.44

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Solution

The fourth proportional to 21,120.44, 29,145 and 11,688.44 is: 16,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.44 : 29,145 = 11,688.44 : x
  2. Step 2: Convert to fraction form
    21,120.44/29,145 = 11,688.44/x
  3. Step 3: Cross multiply
    21,120.44x = 29,145 × 11,688.44
  4. Step 4: Simplify right side
    21,120.44x = 340,659,583.80
  5. Step 5: Solve for x
    x = 340,659,583.80/21,120.44
  6. Step 6: Final answer
    x = 16,129.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.