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Finding the Fourth Proportional to 20,096.42, 30,151.94 and 6,950.12

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Solution

The fourth proportional to 20,096.42, 30,151.94 and 6,950.12 is: 10,427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.42 : 30,151.94 = 6,950.12 : x
  2. Step 2: Convert to fraction form
    20,096.42/30,151.94 = 6,950.12/x
  3. Step 3: Cross multiply
    20,096.42x = 30,151.94 × 6,950.12
  4. Step 4: Simplify right side
    20,096.42x = 209,559,415.72
  5. Step 5: Solve for x
    x = 209,559,415.72/20,096.42
  6. Step 6: Final answer
    x = 10,427.70

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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.