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Finding the Fourth Proportional to 19,271.26, 28,912.71 and 9,147.41

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Solution

The fourth proportional to 19,271.26, 28,912.71 and 9,147.41 is: 13,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271.26 : 28,912.71 = 9,147.41 : x
  2. Step 2: Convert to fraction form
    19,271.26/28,912.71 = 9,147.41/x
  3. Step 3: Cross multiply
    19,271.26x = 28,912.71 × 9,147.41
  4. Step 4: Simplify right side
    19,271.26x = 264,476,410.74
  5. Step 5: Solve for x
    x = 264,476,410.74/19,271.26
  6. Step 6: Final answer
    x = 13,723.88

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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.