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Finding the Fourth Proportional to 19,174.50, 28,765.38 and 6,698.07

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Solution

The fourth proportional to 19,174.50, 28,765.38 and 6,698.07 is: 10,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,174.50 : 28,765.38 = 6,698.07 : x
  2. Step 2: Convert to fraction form
    19,174.50/28,765.38 = 6,698.07/x
  3. Step 3: Cross multiply
    19,174.50x = 28,765.38 × 6,698.07
  4. Step 4: Simplify right side
    19,174.50x = 192,672,528.82
  5. Step 5: Solve for x
    x = 192,672,528.82/19,174.50
  6. Step 6: Final answer
    x = 10,048.37

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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.