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Finding the Fourth Proportional to 14,645.40, 20,198.34 and 11,284.44

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Solution

The fourth proportional to 14,645.40, 20,198.34 and 11,284.44 is: 15,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.40 : 20,198.34 = 11,284.44 : x
  2. Step 2: Convert to fraction form
    14,645.40/20,198.34 = 11,284.44/x
  3. Step 3: Cross multiply
    14,645.40x = 20,198.34 × 11,284.44
  4. Step 4: Simplify right side
    14,645.40x = 227,926,955.83
  5. Step 5: Solve for x
    x = 227,926,955.83/14,645.40
  6. Step 6: Final answer
    x = 15,563.04

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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.