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Finding the Fourth Proportional to 20,213.82, 30,307.02 and 7,059

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Solution

The fourth proportional to 20,213.82, 30,307.02 and 7,059 is: 10,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.82 : 30,307.02 = 7,059 : x
  2. Step 2: Convert to fraction form
    20,213.82/30,307.02 = 7,059/x
  3. Step 3: Cross multiply
    20,213.82x = 30,307.02 × 7,059
  4. Step 4: Simplify right side
    20,213.82x = 213,937,254.18
  5. Step 5: Solve for x
    x = 213,937,254.18/20,213.82
  6. Step 6: Final answer
    x = 10,583.71

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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.