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Finding the Fourth Proportional to 17,333.82, 25,984.79 and 9,424.78

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Solution

The fourth proportional to 17,333.82, 25,984.79 and 9,424.78 is: 14,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333.82 : 25,984.79 = 9,424.78 : x
  2. Step 2: Convert to fraction form
    17,333.82/25,984.79 = 9,424.78/x
  3. Step 3: Cross multiply
    17,333.82x = 25,984.79 × 9,424.78
  4. Step 4: Simplify right side
    17,333.82x = 244,900,881.97
  5. Step 5: Solve for x
    x = 244,900,881.97/17,333.82
  6. Step 6: Final answer
    x = 14,128.50

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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.