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Finding the Fourth Proportional to 13,684.82, 18,885.46 and 7,716.68

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Solution

The fourth proportional to 13,684.82, 18,885.46 and 7,716.68 is: 10,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.82 : 18,885.46 = 7,716.68 : x
  2. Step 2: Convert to fraction form
    13,684.82/18,885.46 = 7,716.68/x
  3. Step 3: Cross multiply
    13,684.82x = 18,885.46 × 7,716.68
  4. Step 4: Simplify right side
    13,684.82x = 145,733,051.47
  5. Step 5: Solve for x
    x = 145,733,051.47/13,684.82
  6. Step 6: Final answer
    x = 10,649.25

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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.