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Finding the Fourth Proportional to 13,494.18, 20,242.96 and 7,245.60

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Solution

The fourth proportional to 13,494.18, 20,242.96 and 7,245.60 is: 10,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.18 : 20,242.96 = 7,245.60 : x
  2. Step 2: Convert to fraction form
    13,494.18/20,242.96 = 7,245.60/x
  3. Step 3: Cross multiply
    13,494.18x = 20,242.96 × 7,245.60
  4. Step 4: Simplify right side
    13,494.18x = 146,672,390.98
  5. Step 5: Solve for x
    x = 146,672,390.98/13,494.18
  6. Step 6: Final answer
    x = 10,869.31

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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.