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Finding the Fourth Proportional to 17,219.70, 25,842.51 and 11,659.86

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Solution

The fourth proportional to 17,219.70, 25,842.51 and 11,659.86 is: 17,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.70 : 25,842.51 = 11,659.86 : x
  2. Step 2: Convert to fraction form
    17,219.70/25,842.51 = 11,659.86/x
  3. Step 3: Cross multiply
    17,219.70x = 25,842.51 × 11,659.86
  4. Step 4: Simplify right side
    17,219.70x = 301,320,048.65
  5. Step 5: Solve for x
    x = 301,320,048.65/17,219.70
  6. Step 6: Final answer
    x = 17,498.57

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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.