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Finding the Fourth Proportional to 20,119.56, 30,140.10 and 13,173

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Solution

The fourth proportional to 20,119.56, 30,140.10 and 13,173 is: 19,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.56 : 30,140.10 = 13,173 : x
  2. Step 2: Convert to fraction form
    20,119.56/30,140.10 = 13,173/x
  3. Step 3: Cross multiply
    20,119.56x = 30,140.10 × 13,173
  4. Step 4: Simplify right side
    20,119.56x = 397,035,537.30
  5. Step 5: Solve for x
    x = 397,035,537.30/20,119.56
  6. Step 6: Final answer
    x = 19,733.81

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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.