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Finding the Fourth Proportional to 20,074.34, 30,129.88 and 10,220.42

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Solution

The fourth proportional to 20,074.34, 30,129.88 and 10,220.42 is: 15,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074.34 : 30,129.88 = 10,220.42 : x
  2. Step 2: Convert to fraction form
    20,074.34/30,129.88 = 10,220.42/x
  3. Step 3: Cross multiply
    20,074.34x = 30,129.88 × 10,220.42
  4. Step 4: Simplify right side
    20,074.34x = 307,940,028.15
  5. Step 5: Solve for x
    x = 307,940,028.15/20,074.34
  6. Step 6: Final answer
    x = 15,339.98

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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.