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Finding the Fourth Proportional to 13,708.92, 18,917.26 and 7,741.18

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Solution

The fourth proportional to 13,708.92, 18,917.26 and 7,741.18 is: 10,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.92 : 18,917.26 = 7,741.18 : x
  2. Step 2: Convert to fraction form
    13,708.92/18,917.26 = 7,741.18/x
  3. Step 3: Cross multiply
    13,708.92x = 18,917.26 × 7,741.18
  4. Step 4: Simplify right side
    13,708.92x = 146,441,914.77
  5. Step 5: Solve for x
    x = 146,441,914.77/13,708.92
  6. Step 6: Final answer
    x = 10,682.24

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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.