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Finding the Fourth Proportional to 13,420.10, 20,105.85 and 11,476.10

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Solution

The fourth proportional to 13,420.10, 20,105.85 and 11,476.10 is: 17,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.10 : 20,105.85 = 11,476.10 : x
  2. Step 2: Convert to fraction form
    13,420.10/20,105.85 = 11,476.10/x
  3. Step 3: Cross multiply
    13,420.10x = 20,105.85 × 11,476.10
  4. Step 4: Simplify right side
    13,420.10x = 230,736,745.19
  5. Step 5: Solve for x
    x = 230,736,745.19/13,420.10
  6. Step 6: Final answer
    x = 17,193.37

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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.