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Finding the Fourth Proportional to 13,684.41, 18,884.47 and 7,396.79

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Solution

The fourth proportional to 13,684.41, 18,884.47 and 7,396.79 is: 10,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.41 : 18,884.47 = 7,396.79 : x
  2. Step 2: Convert to fraction form
    13,684.41/18,884.47 = 7,396.79/x
  3. Step 3: Cross multiply
    13,684.41x = 18,884.47 × 7,396.79
  4. Step 4: Simplify right side
    13,684.41x = 139,684,458.85
  5. Step 5: Solve for x
    x = 139,684,458.85/13,684.41
  6. Step 6: Final answer
    x = 10,207.56

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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.