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Finding the Fourth Proportional to 13,709.46, 18,917.99 and 7,741.71

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Solution

The fourth proportional to 13,709.46, 18,917.99 and 7,741.71 is: 10,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.46 : 18,917.99 = 7,741.71 : x
  2. Step 2: Convert to fraction form
    13,709.46/18,917.99 = 7,741.71/x
  3. Step 3: Cross multiply
    13,709.46x = 18,917.99 × 7,741.71
  4. Step 4: Simplify right side
    13,709.46x = 146,457,592.36
  5. Step 5: Solve for x
    x = 146,457,592.36/13,709.46
  6. Step 6: Final answer
    x = 10,682.96

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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.