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Finding the Fourth Proportional to 16,675.78, 25,013.71 and 6,815.06

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Solution

The fourth proportional to 16,675.78, 25,013.71 and 6,815.06 is: 10,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.78 : 25,013.71 = 6,815.06 : x
  2. Step 2: Convert to fraction form
    16,675.78/25,013.71 = 6,815.06/x
  3. Step 3: Cross multiply
    16,675.78x = 25,013.71 × 6,815.06
  4. Step 4: Simplify right side
    16,675.78x = 170,469,775.33
  5. Step 5: Solve for x
    x = 170,469,775.33/16,675.78
  6. Step 6: Final answer
    x = 10,222.60

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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.