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Finding the Fourth Proportional to 16,872.54, 25,314.05 and 6,343.50

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Solution

The fourth proportional to 16,872.54, 25,314.05 and 6,343.50 is: 9,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.54 : 25,314.05 = 6,343.50 : x
  2. Step 2: Convert to fraction form
    16,872.54/25,314.05 = 6,343.50/x
  3. Step 3: Cross multiply
    16,872.54x = 25,314.05 × 6,343.50
  4. Step 4: Simplify right side
    16,872.54x = 160,579,676.18
  5. Step 5: Solve for x
    x = 160,579,676.18/16,872.54
  6. Step 6: Final answer
    x = 9,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.