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Finding the Fourth Proportional to 13,706.10, 20,546.73 and 4,934.81

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Solution

The fourth proportional to 13,706.10, 20,546.73 and 4,934.81 is: 7,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.10 : 20,546.73 = 4,934.81 : x
  2. Step 2: Convert to fraction form
    13,706.10/20,546.73 = 4,934.81/x
  3. Step 3: Cross multiply
    13,706.10x = 20,546.73 × 4,934.81
  4. Step 4: Simplify right side
    13,706.10x = 101,394,260.04
  5. Step 5: Solve for x
    x = 101,394,260.04/13,706.10
  6. Step 6: Final answer
    x = 7,397.75

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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.