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Finding the Fourth Proportional to 13,684.49, 18,884.51 and 7,716.20

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Solution

The fourth proportional to 13,684.49, 18,884.51 and 7,716.20 is: 10,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.49 : 18,884.51 = 7,716.20 : x
  2. Step 2: Convert to fraction form
    13,684.49/18,884.51 = 7,716.20/x
  3. Step 3: Cross multiply
    13,684.49x = 18,884.51 × 7,716.20
  4. Step 4: Simplify right side
    13,684.49x = 145,716,722.56
  5. Step 5: Solve for x
    x = 145,716,722.56/13,684.49
  6. Step 6: Final answer
    x = 10,648.32

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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.