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Finding the Fourth Proportional to 13,408.65, 18,504.27 and 7,440.42

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Solution

The fourth proportional to 13,408.65, 18,504.27 and 7,440.42 is: 10,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.65 : 18,504.27 = 7,440.42 : x
  2. Step 2: Convert to fraction form
    13,408.65/18,504.27 = 7,440.42/x
  3. Step 3: Cross multiply
    13,408.65x = 18,504.27 × 7,440.42
  4. Step 4: Simplify right side
    13,408.65x = 137,679,540.59
  5. Step 5: Solve for x
    x = 137,679,540.59/13,408.65
  6. Step 6: Final answer
    x = 10,267.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.