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Finding the Fourth Proportional to 16,015.32, 24,022.98 and 8,219.16

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Solution

The fourth proportional to 16,015.32, 24,022.98 and 8,219.16 is: 12,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.32 : 24,022.98 = 8,219.16 : x
  2. Step 2: Convert to fraction form
    16,015.32/24,022.98 = 8,219.16/x
  3. Step 3: Cross multiply
    16,015.32x = 24,022.98 × 8,219.16
  4. Step 4: Simplify right side
    16,015.32x = 197,448,716.30
  5. Step 5: Solve for x
    x = 197,448,716.30/16,015.32
  6. Step 6: Final answer
    x = 12,328.74

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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.