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Finding the Fourth Proportional to 20,081.50, 27,725.46 and 12,914.62

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Solution

The fourth proportional to 20,081.50, 27,725.46 and 12,914.62 is: 17,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081.50 : 27,725.46 = 12,914.62 : x
  2. Step 2: Convert to fraction form
    20,081.50/27,725.46 = 12,914.62/x
  3. Step 3: Cross multiply
    20,081.50x = 27,725.46 × 12,914.62
  4. Step 4: Simplify right side
    20,081.50x = 358,063,780.23
  5. Step 5: Solve for x
    x = 358,063,780.23/20,081.50
  6. Step 6: Final answer
    x = 17,830.53

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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.