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Finding the Fourth Proportional to 20,466.16, 30,703.72 and 6,614.96

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Solution

The fourth proportional to 20,466.16, 30,703.72 and 6,614.96 is: 9,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466.16 : 30,703.72 = 6,614.96 : x
  2. Step 2: Convert to fraction form
    20,466.16/30,703.72 = 6,614.96/x
  3. Step 3: Cross multiply
    20,466.16x = 30,703.72 × 6,614.96
  4. Step 4: Simplify right side
    20,466.16x = 203,103,879.65
  5. Step 5: Solve for x
    x = 203,103,879.65/20,466.16
  6. Step 6: Final answer
    x = 9,923.89

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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.