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Finding the Fourth Proportional to 13,706.94, 20,560.34 and 3,318.69

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Solution

The fourth proportional to 13,706.94, 20,560.34 and 3,318.69 is: 4,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.94 : 20,560.34 = 3,318.69 : x
  2. Step 2: Convert to fraction form
    13,706.94/20,560.34 = 3,318.69/x
  3. Step 3: Cross multiply
    13,706.94x = 20,560.34 × 3,318.69
  4. Step 4: Simplify right side
    13,706.94x = 68,233,378.16
  5. Step 5: Solve for x
    x = 68,233,378.16/13,706.94
  6. Step 6: Final answer
    x = 4,978.02

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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.