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Finding the Fourth Proportional to 13,478.70, 20,227.26 and 4,713.60

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Solution

The fourth proportional to 13,478.70, 20,227.26 and 4,713.60 is: 7,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.70 : 20,227.26 = 4,713.60 : x
  2. Step 2: Convert to fraction form
    13,478.70/20,227.26 = 4,713.60/x
  3. Step 3: Cross multiply
    13,478.70x = 20,227.26 × 4,713.60
  4. Step 4: Simplify right side
    13,478.70x = 95,343,212.74
  5. Step 5: Solve for x
    x = 95,343,212.74/13,478.70
  6. Step 6: Final answer
    x = 7,073.62

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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.