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Finding the Fourth Proportional to 16,008.90, 24,009.51 and 8,213.70

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Solution

The fourth proportional to 16,008.90, 24,009.51 and 8,213.70 is: 12,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.90 : 24,009.51 = 8,213.70 : x
  2. Step 2: Convert to fraction form
    16,008.90/24,009.51 = 8,213.70/x
  3. Step 3: Cross multiply
    16,008.90x = 24,009.51 × 8,213.70
  4. Step 4: Simplify right side
    16,008.90x = 197,206,912.29
  5. Step 5: Solve for x
    x = 197,206,912.29/16,008.90
  6. Step 6: Final answer
    x = 12,318.58

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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.