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Finding the Fourth Proportional to 20,158.12, 30,233.94 and 6,307.12

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Solution

The fourth proportional to 20,158.12, 30,233.94 and 6,307.12 is: 9,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.12 : 30,233.94 = 6,307.12 : x
  2. Step 2: Convert to fraction form
    20,158.12/30,233.94 = 6,307.12/x
  3. Step 3: Cross multiply
    20,158.12x = 30,233.94 × 6,307.12
  4. Step 4: Simplify right side
    20,158.12x = 190,689,087.65
  5. Step 5: Solve for x
    x = 190,689,087.65/20,158.12
  6. Step 6: Final answer
    x = 9,459.67

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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.