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Finding the Fourth Proportional to 13,850.56, 20,778.56 and 5,085.55

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Solution

The fourth proportional to 13,850.56, 20,778.56 and 5,085.55 is: 7,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.56 : 20,778.56 = 5,085.55 : x
  2. Step 2: Convert to fraction form
    13,850.56/20,778.56 = 5,085.55/x
  3. Step 3: Cross multiply
    13,850.56x = 20,778.56 × 5,085.55
  4. Step 4: Simplify right side
    13,850.56x = 105,670,405.81
  5. Step 5: Solve for x
    x = 105,670,405.81/13,850.56
  6. Step 6: Final answer
    x = 7,629.32

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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.