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Finding the Fourth Proportional to 17,157.78, 25,741.11 and 10,048.02

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Solution

The fourth proportional to 17,157.78, 25,741.11 and 10,048.02 is: 15,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.78 : 25,741.11 = 10,048.02 : x
  2. Step 2: Convert to fraction form
    17,157.78/25,741.11 = 10,048.02/x
  3. Step 3: Cross multiply
    17,157.78x = 25,741.11 × 10,048.02
  4. Step 4: Simplify right side
    17,157.78x = 258,647,137.86
  5. Step 5: Solve for x
    x = 258,647,137.86/17,157.78
  6. Step 6: Final answer
    x = 15,074.63

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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.