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Finding the Fourth Proportional to 13,682.34, 20,540.52 and 9,548.64

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Solution

The fourth proportional to 13,682.34, 20,540.52 and 9,548.64 is: 14,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.34 : 20,540.52 = 9,548.64 : x
  2. Step 2: Convert to fraction form
    13,682.34/20,540.52 = 9,548.64/x
  3. Step 3: Cross multiply
    13,682.34x = 20,540.52 × 9,548.64
  4. Step 4: Simplify right side
    13,682.34x = 196,134,030.89
  5. Step 5: Solve for x
    x = 196,134,030.89/13,682.34
  6. Step 6: Final answer
    x = 14,334.83

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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.