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Finding the Fourth Proportional to 13,376.80, 18,458.58 and 7,408.12

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Solution

The fourth proportional to 13,376.80, 18,458.58 and 7,408.12 is: 10,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.80 : 18,458.58 = 7,408.12 : x
  2. Step 2: Convert to fraction form
    13,376.80/18,458.58 = 7,408.12/x
  3. Step 3: Cross multiply
    13,376.80x = 18,458.58 × 7,408.12
  4. Step 4: Simplify right side
    13,376.80x = 136,743,375.67
  5. Step 5: Solve for x
    x = 136,743,375.67/13,376.80
  6. Step 6: Final answer
    x = 10,222.43

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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.