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Finding the Fourth Proportional to 14,771.65, 20,384.91 and 9,469.54

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Solution

The fourth proportional to 14,771.65, 20,384.91 and 9,469.54 is: 13,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.65 : 20,384.91 = 9,469.54 : x
  2. Step 2: Convert to fraction form
    14,771.65/20,384.91 = 9,469.54/x
  3. Step 3: Cross multiply
    14,771.65x = 20,384.91 × 9,469.54
  4. Step 4: Simplify right side
    14,771.65x = 193,035,720.64
  5. Step 5: Solve for x
    x = 193,035,720.64/14,771.65
  6. Step 6: Final answer
    x = 13,067.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.