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Finding the Fourth Proportional to 13,671.68, 20,516.14 and 7,839.68

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Solution

The fourth proportional to 13,671.68, 20,516.14 and 7,839.68 is: 11,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.68 : 20,516.14 = 7,839.68 : x
  2. Step 2: Convert to fraction form
    13,671.68/20,516.14 = 7,839.68/x
  3. Step 3: Cross multiply
    13,671.68x = 20,516.14 × 7,839.68
  4. Step 4: Simplify right side
    13,671.68x = 160,839,972.44
  5. Step 5: Solve for x
    x = 160,839,972.44/13,671.68
  6. Step 6: Final answer
    x = 11,764.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.