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Finding the Fourth Proportional to 12,162.54, 18,236.12 and 5,138.94

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Solution

The fourth proportional to 12,162.54, 18,236.12 and 5,138.94 is: 7,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.54 : 18,236.12 = 5,138.94 : x
  2. Step 2: Convert to fraction form
    12,162.54/18,236.12 = 5,138.94/x
  3. Step 3: Cross multiply
    12,162.54x = 18,236.12 × 5,138.94
  4. Step 4: Simplify right side
    12,162.54x = 93,714,300.82
  5. Step 5: Solve for x
    x = 93,714,300.82/12,162.54
  6. Step 6: Final answer
    x = 7,705.16

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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.