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Finding the Fourth Proportional to 13,684.43, 18,884.55 and 7,716.09

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Solution

The fourth proportional to 13,684.43, 18,884.55 and 7,716.09 is: 10,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.43 : 18,884.55 = 7,716.09 : x
  2. Step 2: Convert to fraction form
    13,684.43/18,884.55 = 7,716.09/x
  3. Step 3: Cross multiply
    13,684.43x = 18,884.55 × 7,716.09
  4. Step 4: Simplify right side
    13,684.43x = 145,714,848.83
  5. Step 5: Solve for x
    x = 145,714,848.83/13,684.43
  6. Step 6: Final answer
    x = 10,648.22

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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.