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Finding the Fourth Proportional to 18,409.86, 27,600.14 and 8,014.32

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Solution

The fourth proportional to 18,409.86, 27,600.14 and 8,014.32 is: 12,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.86 : 27,600.14 = 8,014.32 : x
  2. Step 2: Convert to fraction form
    18,409.86/27,600.14 = 8,014.32/x
  3. Step 3: Cross multiply
    18,409.86x = 27,600.14 × 8,014.32
  4. Step 4: Simplify right side
    18,409.86x = 221,196,313.93
  5. Step 5: Solve for x
    x = 221,196,313.93/18,409.86
  6. Step 6: Final answer
    x = 12,015.10

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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.