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Finding the Fourth Proportional to 16,780.92, 25,172.15 and 11,872.50

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Solution

The fourth proportional to 16,780.92, 25,172.15 and 11,872.50 is: 17,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.92 : 25,172.15 = 11,872.50 : x
  2. Step 2: Convert to fraction form
    16,780.92/25,172.15 = 11,872.50/x
  3. Step 3: Cross multiply
    16,780.92x = 25,172.15 × 11,872.50
  4. Step 4: Simplify right side
    16,780.92x = 298,856,291.51
  5. Step 5: Solve for x
    x = 298,856,291.51/16,780.92
  6. Step 6: Final answer
    x = 17,809.29

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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.