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Finding the Fourth Proportional to 13,191.18, 19,794.06 and 7,927.80

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Solution

The fourth proportional to 13,191.18, 19,794.06 and 7,927.80 is: 11,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.18 : 19,794.06 = 7,927.80 : x
  2. Step 2: Convert to fraction form
    13,191.18/19,794.06 = 7,927.80/x
  3. Step 3: Cross multiply
    13,191.18x = 19,794.06 × 7,927.80
  4. Step 4: Simplify right side
    13,191.18x = 156,923,348.87
  5. Step 5: Solve for x
    x = 156,923,348.87/13,191.18
  6. Step 6: Final answer
    x = 11,896.08

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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.