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Finding the Fourth Proportional to 17,023, 25,524.09 and 7,024.65

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Solution

The fourth proportional to 17,023, 25,524.09 and 7,024.65 is: 10,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023 : 25,524.09 = 7,024.65 : x
  2. Step 2: Convert to fraction form
    17,023/25,524.09 = 7,024.65/x
  3. Step 3: Cross multiply
    17,023x = 25,524.09 × 7,024.65
  4. Step 4: Simplify right side
    17,023x = 179,297,798.82
  5. Step 5: Solve for x
    x = 179,297,798.82/17,023
  6. Step 6: Final answer
    x = 10,532.68

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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.