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Finding the Fourth Proportional to 12,592.36, 18,872.14 and 7,846.57

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Solution

The fourth proportional to 12,592.36, 18,872.14 and 7,846.57 is: 11,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.36 : 18,872.14 = 7,846.57 : x
  2. Step 2: Convert to fraction form
    12,592.36/18,872.14 = 7,846.57/x
  3. Step 3: Cross multiply
    12,592.36x = 18,872.14 × 7,846.57
  4. Step 4: Simplify right side
    12,592.36x = 148,081,586.25
  5. Step 5: Solve for x
    x = 148,081,586.25/12,592.36
  6. Step 6: Final answer
    x = 11,759.64

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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.