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Finding the Fourth Proportional to 12,655.85, 18,980.46 and 3,768.75

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Solution

The fourth proportional to 12,655.85, 18,980.46 and 3,768.75 is: 5,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.85 : 18,980.46 = 3,768.75 : x
  2. Step 2: Convert to fraction form
    12,655.85/18,980.46 = 3,768.75/x
  3. Step 3: Cross multiply
    12,655.85x = 18,980.46 × 3,768.75
  4. Step 4: Simplify right side
    12,655.85x = 71,532,608.63
  5. Step 5: Solve for x
    x = 71,532,608.63/12,655.85
  6. Step 6: Final answer
    x = 5,652.14

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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.