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Finding the Fourth Proportional to 19,912.23, 29,880.50 and 8,223.93

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Solution

The fourth proportional to 19,912.23, 29,880.50 and 8,223.93 is: 12,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912.23 : 29,880.50 = 8,223.93 : x
  2. Step 2: Convert to fraction form
    19,912.23/29,880.50 = 8,223.93/x
  3. Step 3: Cross multiply
    19,912.23x = 29,880.50 × 8,223.93
  4. Step 4: Simplify right side
    19,912.23x = 245,735,140.37
  5. Step 5: Solve for x
    x = 245,735,140.37/19,912.23
  6. Step 6: Final answer
    x = 12,340.92

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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.