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Finding the Fourth Proportional to 13,481.10, 20,223.81 and 4,713.66

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Solution

The fourth proportional to 13,481.10, 20,223.81 and 4,713.66 is: 7,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.10 : 20,223.81 = 4,713.66 : x
  2. Step 2: Convert to fraction form
    13,481.10/20,223.81 = 4,713.66/x
  3. Step 3: Cross multiply
    13,481.10x = 20,223.81 × 4,713.66
  4. Step 4: Simplify right side
    13,481.10x = 95,328,164.24
  5. Step 5: Solve for x
    x = 95,328,164.24/13,481.10
  6. Step 6: Final answer
    x = 7,071.25

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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.