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Finding the Fourth Proportional to 13,682.57, 20,524.05 and 9,032.36

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Solution

The fourth proportional to 13,682.57, 20,524.05 and 9,032.36 is: 13,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.57 : 20,524.05 = 9,032.36 : x
  2. Step 2: Convert to fraction form
    13,682.57/20,524.05 = 9,032.36/x
  3. Step 3: Cross multiply
    13,682.57x = 20,524.05 × 9,032.36
  4. Step 4: Simplify right side
    13,682.57x = 185,380,505.64
  5. Step 5: Solve for x
    x = 185,380,505.64/13,682.57
  6. Step 6: Final answer
    x = 13,548.67

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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.