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Finding the Fourth Proportional to 12,592.24, 18,887.90 and 5,191.15

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Solution

The fourth proportional to 12,592.24, 18,887.90 and 5,191.15 is: 7,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.24 : 18,887.90 = 5,191.15 : x
  2. Step 2: Convert to fraction form
    12,592.24/18,887.90 = 5,191.15/x
  3. Step 3: Cross multiply
    12,592.24x = 18,887.90 × 5,191.15
  4. Step 4: Simplify right side
    12,592.24x = 98,049,922.09
  5. Step 5: Solve for x
    x = 98,049,922.09/12,592.24
  6. Step 6: Final answer
    x = 7,786.54

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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.