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Finding the Fourth Proportional to 14,169.25, 19,551.63 and 8,198.74

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Solution

The fourth proportional to 14,169.25, 19,551.63 and 8,198.74 is: 11,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.25 : 19,551.63 = 8,198.74 : x
  2. Step 2: Convert to fraction form
    14,169.25/19,551.63 = 8,198.74/x
  3. Step 3: Cross multiply
    14,169.25x = 19,551.63 × 8,198.74
  4. Step 4: Simplify right side
    14,169.25x = 160,298,730.95
  5. Step 5: Solve for x
    x = 160,298,730.95/14,169.25
  6. Step 6: Final answer
    x = 11,313.14

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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.