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Finding the Fourth Proportional to 12,596.46, 17,379.96 and 8,114.82

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Solution

The fourth proportional to 12,596.46, 17,379.96 and 8,114.82 is: 11,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.46 : 17,379.96 = 8,114.82 : x
  2. Step 2: Convert to fraction form
    12,596.46/17,379.96 = 8,114.82/x
  3. Step 3: Cross multiply
    12,596.46x = 17,379.96 × 8,114.82
  4. Step 4: Simplify right side
    12,596.46x = 141,035,247.01
  5. Step 5: Solve for x
    x = 141,035,247.01/12,596.46
  6. Step 6: Final answer
    x = 11,196.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.