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Finding the Fourth Proportional to 17,765.99, 26,644.34 and 5,282.64

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Solution

The fourth proportional to 17,765.99, 26,644.34 and 5,282.64 is: 7,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.99 : 26,644.34 = 5,282.64 : x
  2. Step 2: Convert to fraction form
    17,765.99/26,644.34 = 5,282.64/x
  3. Step 3: Cross multiply
    17,765.99x = 26,644.34 × 5,282.64
  4. Step 4: Simplify right side
    17,765.99x = 140,752,429.84
  5. Step 5: Solve for x
    x = 140,752,429.84/17,765.99
  6. Step 6: Final answer
    x = 7,922.58

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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.