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Finding the Fourth Proportional to 14,185.82, 19,574.64 and 8,217.44

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Solution

The fourth proportional to 14,185.82, 19,574.64 and 8,217.44 is: 11,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.82 : 19,574.64 = 8,217.44 : x
  2. Step 2: Convert to fraction form
    14,185.82/19,574.64 = 8,217.44/x
  3. Step 3: Cross multiply
    14,185.82x = 19,574.64 × 8,217.44
  4. Step 4: Simplify right side
    14,185.82x = 160,853,429.72
  5. Step 5: Solve for x
    x = 160,853,429.72/14,185.82
  6. Step 6: Final answer
    x = 11,339.03

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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.