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Finding the Fourth Proportional to 13,283.70, 19,923.32 and 3,923.54

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Solution

The fourth proportional to 13,283.70, 19,923.32 and 3,923.54 is: 5,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.70 : 19,923.32 = 3,923.54 : x
  2. Step 2: Convert to fraction form
    13,283.70/19,923.32 = 3,923.54/x
  3. Step 3: Cross multiply
    13,283.70x = 19,923.32 × 3,923.54
  4. Step 4: Simplify right side
    13,283.70x = 78,169,942.95
  5. Step 5: Solve for x
    x = 78,169,942.95/13,283.70
  6. Step 6: Final answer
    x = 5,884.65

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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.