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Finding the Fourth Proportional to 13,420.70, 20,134.23 and 13,197.56

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Solution

The fourth proportional to 13,420.70, 20,134.23 and 13,197.56 is: 19,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.70 : 20,134.23 = 13,197.56 : x
  2. Step 2: Convert to fraction form
    13,420.70/20,134.23 = 13,197.56/x
  3. Step 3: Cross multiply
    13,420.70x = 20,134.23 × 13,197.56
  4. Step 4: Simplify right side
    13,420.70x = 265,722,708.48
  5. Step 5: Solve for x
    x = 265,722,708.48/13,420.70
  6. Step 6: Final answer
    x = 19,799.47

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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.