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Finding the Fourth Proportional to 17,273.94, 25,912.53 and 6,886.50

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Solution

The fourth proportional to 17,273.94, 25,912.53 and 6,886.50 is: 10,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273.94 : 25,912.53 = 6,886.50 : x
  2. Step 2: Convert to fraction form
    17,273.94/25,912.53 = 6,886.50/x
  3. Step 3: Cross multiply
    17,273.94x = 25,912.53 × 6,886.50
  4. Step 4: Simplify right side
    17,273.94x = 178,446,637.85
  5. Step 5: Solve for x
    x = 178,446,637.85/17,273.94
  6. Step 6: Final answer
    x = 10,330.40

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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.