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Finding the Fourth Proportional to 20,138.55, 30,216.33 and 10,138.08

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Solution

The fourth proportional to 20,138.55, 30,216.33 and 10,138.08 is: 15,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.55 : 30,216.33 = 10,138.08 : x
  2. Step 2: Convert to fraction form
    20,138.55/30,216.33 = 10,138.08/x
  3. Step 3: Cross multiply
    20,138.55x = 30,216.33 × 10,138.08
  4. Step 4: Simplify right side
    20,138.55x = 306,335,570.85
  5. Step 5: Solve for x
    x = 306,335,570.85/20,138.55
  6. Step 6: Final answer
    x = 15,211.40

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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.