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Finding the Fourth Proportional to 17,096.75, 25,645.13 and 4,784.75

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Solution

The fourth proportional to 17,096.75, 25,645.13 and 4,784.75 is: 7,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.75 : 25,645.13 = 4,784.75 : x
  2. Step 2: Convert to fraction form
    17,096.75/25,645.13 = 4,784.75/x
  3. Step 3: Cross multiply
    17,096.75x = 25,645.13 × 4,784.75
  4. Step 4: Simplify right side
    17,096.75x = 122,705,535.77
  5. Step 5: Solve for x
    x = 122,705,535.77/17,096.75
  6. Step 6: Final answer
    x = 7,177.13

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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.