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Finding the Fourth Proportional to 20,013, 30,010.07 and 11,695.41

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Solution

The fourth proportional to 20,013, 30,010.07 and 11,695.41 is: 17,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 30,010.07 = 11,695.41 : x
  2. Step 2: Convert to fraction form
    20,013/30,010.07 = 11,695.41/x
  3. Step 3: Cross multiply
    20,013x = 30,010.07 × 11,695.41
  4. Step 4: Simplify right side
    20,013x = 350,980,072.78
  5. Step 5: Solve for x
    x = 350,980,072.78/20,013
  6. Step 6: Final answer
    x = 17,537.60

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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.