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Finding the Fourth Proportional to 13,708.56, 18,917.82 and 7,420.94

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Solution

The fourth proportional to 13,708.56, 18,917.82 and 7,420.94 is: 10,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.56 : 18,917.82 = 7,420.94 : x
  2. Step 2: Convert to fraction form
    13,708.56/18,917.82 = 7,420.94/x
  3. Step 3: Cross multiply
    13,708.56x = 18,917.82 × 7,420.94
  4. Step 4: Simplify right side
    13,708.56x = 140,387,912.56
  5. Step 5: Solve for x
    x = 140,387,912.56/13,708.56
  6. Step 6: Final answer
    x = 10,240.89

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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.