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Finding the Fourth Proportional to 16,008.14, 24,026.75 and 8,116.16

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Solution

The fourth proportional to 16,008.14, 24,026.75 and 8,116.16 is: 12,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.14 : 24,026.75 = 8,116.16 : x
  2. Step 2: Convert to fraction form
    16,008.14/24,026.75 = 8,116.16/x
  3. Step 3: Cross multiply
    16,008.14x = 24,026.75 × 8,116.16
  4. Step 4: Simplify right side
    16,008.14x = 195,004,786.57
  5. Step 5: Solve for x
    x = 195,004,786.57/16,008.14
  6. Step 6: Final answer
    x = 12,181.61

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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.