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Finding the Fourth Proportional to 14,164.70, 19,546.45 and 8,195.94

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Solution

The fourth proportional to 14,164.70, 19,546.45 and 8,195.94 is: 11,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.70 : 19,546.45 = 8,195.94 : x
  2. Step 2: Convert to fraction form
    14,164.70/19,546.45 = 8,195.94/x
  3. Step 3: Cross multiply
    14,164.70x = 19,546.45 × 8,195.94
  4. Step 4: Simplify right side
    14,164.70x = 160,201,510.92
  5. Step 5: Solve for x
    x = 160,201,510.92/14,164.70
  6. Step 6: Final answer
    x = 11,309.92

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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.