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Finding the Fourth Proportional to 20,309.65, 30,464.91 and 6,269.69

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Solution

The fourth proportional to 20,309.65, 30,464.91 and 6,269.69 is: 9,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.65 : 30,464.91 = 6,269.69 : x
  2. Step 2: Convert to fraction form
    20,309.65/30,464.91 = 6,269.69/x
  3. Step 3: Cross multiply
    20,309.65x = 30,464.91 × 6,269.69
  4. Step 4: Simplify right side
    20,309.65x = 191,005,617.74
  5. Step 5: Solve for x
    x = 191,005,617.74/20,309.65
  6. Step 6: Final answer
    x = 9,404.67

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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.