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Finding the Fourth Proportional to 16,160.68, 24,250.38 and 6,800

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Solution

The fourth proportional to 16,160.68, 24,250.38 and 6,800 is: 10,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.68 : 24,250.38 = 6,800 : x
  2. Step 2: Convert to fraction form
    16,160.68/24,250.38 = 6,800/x
  3. Step 3: Cross multiply
    16,160.68x = 24,250.38 × 6,800
  4. Step 4: Simplify right side
    16,160.68x = 164,902,584
  5. Step 5: Solve for x
    x = 164,902,584/16,160.68
  6. Step 6: Final answer
    x = 10,203.94

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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.