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Finding the Fourth Proportional to 19,257.94, 28,868.11 and 9,396.82

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Solution

The fourth proportional to 19,257.94, 28,868.11 and 9,396.82 is: 14,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.94 : 28,868.11 = 9,396.82 : x
  2. Step 2: Convert to fraction form
    19,257.94/28,868.11 = 9,396.82/x
  3. Step 3: Cross multiply
    19,257.94x = 28,868.11 × 9,396.82
  4. Step 4: Simplify right side
    19,257.94x = 271,268,433.41
  5. Step 5: Solve for x
    x = 271,268,433.41/19,257.94
  6. Step 6: Final answer
    x = 14,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.