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Finding the Fourth Proportional to 20,035.32, 27,649.23 and 11,083

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Solution

The fourth proportional to 20,035.32, 27,649.23 and 11,083 is: 15,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.32 : 27,649.23 = 11,083 : x
  2. Step 2: Convert to fraction form
    20,035.32/27,649.23 = 11,083/x
  3. Step 3: Cross multiply
    20,035.32x = 27,649.23 × 11,083
  4. Step 4: Simplify right side
    20,035.32x = 306,436,416.09
  5. Step 5: Solve for x
    x = 306,436,416.09/20,035.32
  6. Step 6: Final answer
    x = 15,294.81

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