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Finding the Fourth Proportional to 13,706.38, 20,559.67 and 3,318.13

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Solution

The fourth proportional to 13,706.38, 20,559.67 and 3,318.13 is: 4,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.38 : 20,559.67 = 3,318.13 : x
  2. Step 2: Convert to fraction form
    13,706.38/20,559.67 = 3,318.13/x
  3. Step 3: Cross multiply
    13,706.38x = 20,559.67 × 3,318.13
  4. Step 4: Simplify right side
    13,706.38x = 68,219,538.43
  5. Step 5: Solve for x
    x = 68,219,538.43/13,706.38
  6. Step 6: Final answer
    x = 4,977.21

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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.