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Finding the Fourth Proportional to 20,169.14, 30,233.05 and 7,014.33

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Solution

The fourth proportional to 20,169.14, 30,233.05 and 7,014.33 is: 10,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169.14 : 30,233.05 = 7,014.33 : x
  2. Step 2: Convert to fraction form
    20,169.14/30,233.05 = 7,014.33/x
  3. Step 3: Cross multiply
    20,169.14x = 30,233.05 × 7,014.33
  4. Step 4: Simplify right side
    20,169.14x = 212,064,572.07
  5. Step 5: Solve for x
    x = 212,064,572.07/20,169.14
  6. Step 6: Final answer
    x = 10,514.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.