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Finding the Fourth Proportional to 13,674.78, 18,871.20 and 7,706.67

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Solution

The fourth proportional to 13,674.78, 18,871.20 and 7,706.67 is: 10,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.78 : 18,871.20 = 7,706.67 : x
  2. Step 2: Convert to fraction form
    13,674.78/18,871.20 = 7,706.67/x
  3. Step 3: Cross multiply
    13,674.78x = 18,871.20 × 7,706.67
  4. Step 4: Simplify right side
    13,674.78x = 145,433,978.01
  5. Step 5: Solve for x
    x = 145,433,978.01/13,674.78
  6. Step 6: Final answer
    x = 10,635.20

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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.