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Finding the Fourth Proportional to 17,083.80, 25,624.62 and 7,724.52

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Solution

The fourth proportional to 17,083.80, 25,624.62 and 7,724.52 is: 11,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.80 : 25,624.62 = 7,724.52 : x
  2. Step 2: Convert to fraction form
    17,083.80/25,624.62 = 7,724.52/x
  3. Step 3: Cross multiply
    17,083.80x = 25,624.62 × 7,724.52
  4. Step 4: Simplify right side
    17,083.80x = 197,937,889.68
  5. Step 5: Solve for x
    x = 197,937,889.68/17,083.80
  6. Step 6: Final answer
    x = 11,586.29

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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.