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Finding the Fourth Proportional to 13,680.12, 20,502.90 and 11,817.72

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Solution

The fourth proportional to 13,680.12, 20,502.90 and 11,817.72 is: 17,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.12 : 20,502.90 = 11,817.72 : x
  2. Step 2: Convert to fraction form
    13,680.12/20,502.90 = 11,817.72/x
  3. Step 3: Cross multiply
    13,680.12x = 20,502.90 × 11,817.72
  4. Step 4: Simplify right side
    13,680.12x = 242,297,531.39
  5. Step 5: Solve for x
    x = 242,297,531.39/13,680.12
  6. Step 6: Final answer
    x = 17,711.65

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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.