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Finding the Fourth Proportional to 20,469.10, 30,648.96 and 13,033.30

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Solution

The fourth proportional to 20,469.10, 30,648.96 and 13,033.30 is: 19,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.10 : 30,648.96 = 13,033.30 : x
  2. Step 2: Convert to fraction form
    20,469.10/30,648.96 = 13,033.30/x
  3. Step 3: Cross multiply
    20,469.10x = 30,648.96 × 13,033.30
  4. Step 4: Simplify right side
    20,469.10x = 399,457,090.37
  5. Step 5: Solve for x
    x = 399,457,090.37/20,469.10
  6. Step 6: Final answer
    x = 19,515.13

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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.