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Finding the Fourth Proportional to 17,133.70, 25,664.10 and 13,853.20

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Solution

The fourth proportional to 17,133.70, 25,664.10 and 13,853.20 is: 20,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.70 : 25,664.10 = 13,853.20 : x
  2. Step 2: Convert to fraction form
    17,133.70/25,664.10 = 13,853.20/x
  3. Step 3: Cross multiply
    17,133.70x = 25,664.10 × 13,853.20
  4. Step 4: Simplify right side
    17,133.70x = 355,529,910.12
  5. Step 5: Solve for x
    x = 355,529,910.12/17,133.70
  6. Step 6: Final answer
    x = 20,750.33

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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.