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Finding the Fourth Proportional to 13,657.12, 20,484.96 and 3,796.96

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Solution

The fourth proportional to 13,657.12, 20,484.96 and 3,796.96 is: 5,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.12 : 20,484.96 = 3,796.96 : x
  2. Step 2: Convert to fraction form
    13,657.12/20,484.96 = 3,796.96/x
  3. Step 3: Cross multiply
    13,657.12x = 20,484.96 × 3,796.96
  4. Step 4: Simplify right side
    13,657.12x = 77,780,573.72
  5. Step 5: Solve for x
    x = 77,780,573.72/13,657.12
  6. Step 6: Final answer
    x = 5,695.24

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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.