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Finding the Fourth Proportional to 12,730.96, 19,096.26 and 6,157.72

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Solution

The fourth proportional to 12,730.96, 19,096.26 and 6,157.72 is: 9,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.96 : 19,096.26 = 6,157.72 : x
  2. Step 2: Convert to fraction form
    12,730.96/19,096.26 = 6,157.72/x
  3. Step 3: Cross multiply
    12,730.96x = 19,096.26 × 6,157.72
  4. Step 4: Simplify right side
    12,730.96x = 117,589,422.13
  5. Step 5: Solve for x
    x = 117,589,422.13/12,730.96
  6. Step 6: Final answer
    x = 9,236.49

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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.