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Finding the Fourth Proportional to 11,724.96, 17,577.60 and 8,018.16

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Solution

The fourth proportional to 11,724.96, 17,577.60 and 8,018.16 is: 12,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.96 : 17,577.60 = 8,018.16 : x
  2. Step 2: Convert to fraction form
    11,724.96/17,577.60 = 8,018.16/x
  3. Step 3: Cross multiply
    11,724.96x = 17,577.60 × 8,018.16
  4. Step 4: Simplify right side
    11,724.96x = 140,940,009.22
  5. Step 5: Solve for x
    x = 140,940,009.22/11,724.96
  6. Step 6: Final answer
    x = 12,020.51

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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.