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Finding the Fourth Proportional to 12,597.50, 18,896.43 and 4,389.50

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Solution

The fourth proportional to 12,597.50, 18,896.43 and 4,389.50 is: 6,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.50 : 18,896.43 = 4,389.50 : x
  2. Step 2: Convert to fraction form
    12,597.50/18,896.43 = 4,389.50/x
  3. Step 3: Cross multiply
    12,597.50x = 18,896.43 × 4,389.50
  4. Step 4: Simplify right side
    12,597.50x = 82,945,879.49
  5. Step 5: Solve for x
    x = 82,945,879.49/12,597.50
  6. Step 6: Final answer
    x = 6,584.31

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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.