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Finding the Fourth Proportional to 14,195.68, 21,291.09 and 3,805

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Solution

The fourth proportional to 14,195.68, 21,291.09 and 3,805 is: 5,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.68 : 21,291.09 = 3,805 : x
  2. Step 2: Convert to fraction form
    14,195.68/21,291.09 = 3,805/x
  3. Step 3: Cross multiply
    14,195.68x = 21,291.09 × 3,805
  4. Step 4: Simplify right side
    14,195.68x = 81,012,597.45
  5. Step 5: Solve for x
    x = 81,012,597.45/14,195.68
  6. Step 6: Final answer
    x = 5,706.85

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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.