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Finding the Fourth Proportional to 20,096.82, 30,152.46 and 6,950.52

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Solution

The fourth proportional to 20,096.82, 30,152.46 and 6,950.52 is: 10,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.82 : 30,152.46 = 6,950.52 : x
  2. Step 2: Convert to fraction form
    20,096.82/30,152.46 = 6,950.52/x
  3. Step 3: Cross multiply
    20,096.82x = 30,152.46 × 6,950.52
  4. Step 4: Simplify right side
    20,096.82x = 209,575,276.28
  5. Step 5: Solve for x
    x = 209,575,276.28/20,096.82
  6. Step 6: Final answer
    x = 10,428.28

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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.