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Finding the Fourth Proportional to 13,725.79, 20,585.58 and 8,180.71

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Solution

The fourth proportional to 13,725.79, 20,585.58 and 8,180.71 is: 12,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.79 : 20,585.58 = 8,180.71 : x
  2. Step 2: Convert to fraction form
    13,725.79/20,585.58 = 8,180.71/x
  3. Step 3: Cross multiply
    13,725.79x = 20,585.58 × 8,180.71
  4. Step 4: Simplify right side
    13,725.79x = 168,404,660.16
  5. Step 5: Solve for x
    x = 168,404,660.16/13,725.79
  6. Step 6: Final answer
    x = 12,269.21

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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.