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Finding the Fourth Proportional to 17,100, 25,657.90 and 7,241.56

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Solution

The fourth proportional to 17,100, 25,657.90 and 7,241.56 is: 10,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 25,657.90 = 7,241.56 : x
  2. Step 2: Convert to fraction form
    17,100/25,657.90 = 7,241.56/x
  3. Step 3: Cross multiply
    17,100x = 25,657.90 × 7,241.56
  4. Step 4: Simplify right side
    17,100x = 185,803,222.32
  5. Step 5: Solve for x
    x = 185,803,222.32/17,100
  6. Step 6: Final answer
    x = 10,865.69

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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.