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Finding the Fourth Proportional to 17,086, 25,631.16 and 4,774

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Solution

The fourth proportional to 17,086, 25,631.16 and 4,774 is: 7,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086 : 25,631.16 = 4,774 : x
  2. Step 2: Convert to fraction form
    17,086/25,631.16 = 4,774/x
  3. Step 3: Cross multiply
    17,086x = 25,631.16 × 4,774
  4. Step 4: Simplify right side
    17,086x = 122,363,157.84
  5. Step 5: Solve for x
    x = 122,363,157.84/17,086
  6. Step 6: Final answer
    x = 7,161.60

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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.