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Finding the Fourth Proportional to 13,680.30, 18,878.94 and 7,711.44

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Solution

The fourth proportional to 13,680.30, 18,878.94 and 7,711.44 is: 10,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.30 : 18,878.94 = 7,711.44 : x
  2. Step 2: Convert to fraction form
    13,680.30/18,878.94 = 7,711.44/x
  3. Step 3: Cross multiply
    13,680.30x = 18,878.94 × 7,711.44
  4. Step 4: Simplify right side
    13,680.30x = 145,583,813.07
  5. Step 5: Solve for x
    x = 145,583,813.07/13,680.30
  6. Step 6: Final answer
    x = 10,641.86

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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.