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Finding the Fourth Proportional to 13,708.85, 18,917.55 and 7,741.37

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Solution

The fourth proportional to 13,708.85, 18,917.55 and 7,741.37 is: 10,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.85 : 18,917.55 = 7,741.37 : x
  2. Step 2: Convert to fraction form
    13,708.85/18,917.55 = 7,741.37/x
  3. Step 3: Cross multiply
    13,708.85x = 18,917.55 × 7,741.37
  4. Step 4: Simplify right side
    13,708.85x = 146,447,801.34
  5. Step 5: Solve for x
    x = 146,447,801.34/13,708.85
  6. Step 6: Final answer
    x = 10,682.72

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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.