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Finding the Fourth Proportional to 17,181.45, 25,757.33 and 7,686.50

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Solution

The fourth proportional to 17,181.45, 25,757.33 and 7,686.50 is: 11,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.45 : 25,757.33 = 7,686.50 : x
  2. Step 2: Convert to fraction form
    17,181.45/25,757.33 = 7,686.50/x
  3. Step 3: Cross multiply
    17,181.45x = 25,757.33 × 7,686.50
  4. Step 4: Simplify right side
    17,181.45x = 197,983,549.83
  5. Step 5: Solve for x
    x = 197,983,549.83/17,181.45
  6. Step 6: Final answer
    x = 11,523.10

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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.