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Finding the Fourth Proportional to 13,613.11, 20,414.48 and 8,068.01

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Solution

The fourth proportional to 13,613.11, 20,414.48 and 8,068.01 is: 12,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.11 : 20,414.48 = 8,068.01 : x
  2. Step 2: Convert to fraction form
    13,613.11/20,414.48 = 8,068.01/x
  3. Step 3: Cross multiply
    13,613.11x = 20,414.48 × 8,068.01
  4. Step 4: Simplify right side
    13,613.11x = 164,704,131.75
  5. Step 5: Solve for x
    x = 164,704,131.75/13,613.11
  6. Step 6: Final answer
    x = 12,098.93

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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.