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Finding the Fourth Proportional to 13,540.96, 20,312.52 and 4,306.96

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Solution

The fourth proportional to 13,540.96, 20,312.52 and 4,306.96 is: 6,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.96 : 20,312.52 = 4,306.96 : x
  2. Step 2: Convert to fraction form
    13,540.96/20,312.52 = 4,306.96/x
  3. Step 3: Cross multiply
    13,540.96x = 20,312.52 × 4,306.96
  4. Step 4: Simplify right side
    13,540.96x = 87,485,211.14
  5. Step 5: Solve for x
    x = 87,485,211.14/13,540.96
  6. Step 6: Final answer
    x = 6,460.78

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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.