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Finding the Fourth Proportional to 13,674.02, 18,868.79 and 7,706.75

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Solution

The fourth proportional to 13,674.02, 18,868.79 and 7,706.75 is: 10,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.02 : 18,868.79 = 7,706.75 : x
  2. Step 2: Convert to fraction form
    13,674.02/18,868.79 = 7,706.75/x
  3. Step 3: Cross multiply
    13,674.02x = 18,868.79 × 7,706.75
  4. Step 4: Simplify right side
    13,674.02x = 145,416,914.45
  5. Step 5: Solve for x
    x = 145,416,914.45/13,674.02
  6. Step 6: Final answer
    x = 10,634.54

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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.