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Finding the Fourth Proportional to 16,195.88, 24,283.44 and 6,833.34

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Solution

The fourth proportional to 16,195.88, 24,283.44 and 6,833.34 is: 10,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.88 : 24,283.44 = 6,833.34 : x
  2. Step 2: Convert to fraction form
    16,195.88/24,283.44 = 6,833.34/x
  3. Step 3: Cross multiply
    16,195.88x = 24,283.44 × 6,833.34
  4. Step 4: Simplify right side
    16,195.88x = 165,937,001.89
  5. Step 5: Solve for x
    x = 165,937,001.89/16,195.88
  6. Step 6: Final answer
    x = 10,245.63

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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.