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Finding the Fourth Proportional to 13,851.39, 20,764.76 and 5,084.25

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Solution

The fourth proportional to 13,851.39, 20,764.76 and 5,084.25 is: 7,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.39 : 20,764.76 = 5,084.25 : x
  2. Step 2: Convert to fraction form
    13,851.39/20,764.76 = 5,084.25/x
  3. Step 3: Cross multiply
    13,851.39x = 20,764.76 × 5,084.25
  4. Step 4: Simplify right side
    13,851.39x = 105,573,273.14
  5. Step 5: Solve for x
    x = 105,573,273.14/13,851.39
  6. Step 6: Final answer
    x = 7,621.86

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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.