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Finding the Fourth Proportional to 20,638.44, 30,960.09 and 15,477.12

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Solution

The fourth proportional to 20,638.44, 30,960.09 and 15,477.12 is: 23,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.44 : 30,960.09 = 15,477.12 : x
  2. Step 2: Convert to fraction form
    20,638.44/30,960.09 = 15,477.12/x
  3. Step 3: Cross multiply
    20,638.44x = 30,960.09 × 15,477.12
  4. Step 4: Simplify right side
    20,638.44x = 479,173,028.14
  5. Step 5: Solve for x
    x = 479,173,028.14/20,638.44
  6. Step 6: Final answer
    x = 23,217.50

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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.