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Finding the Fourth Proportional to 14,113.93, 21,169.14 and 8,194.03

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Solution

The fourth proportional to 14,113.93, 21,169.14 and 8,194.03 is: 12,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.93 : 21,169.14 = 8,194.03 : x
  2. Step 2: Convert to fraction form
    14,113.93/21,169.14 = 8,194.03/x
  3. Step 3: Cross multiply
    14,113.93x = 21,169.14 × 8,194.03
  4. Step 4: Simplify right side
    14,113.93x = 173,460,568.23
  5. Step 5: Solve for x
    x = 173,460,568.23/14,113.93
  6. Step 6: Final answer
    x = 12,290.03

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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.