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Finding the Fourth Proportional to 17,960.38, 24,783.54 and 10,003.34

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Solution

The fourth proportional to 17,960.38, 24,783.54 and 10,003.34 is: 13,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960.38 : 24,783.54 = 10,003.34 : x
  2. Step 2: Convert to fraction form
    17,960.38/24,783.54 = 10,003.34/x
  3. Step 3: Cross multiply
    17,960.38x = 24,783.54 × 10,003.34
  4. Step 4: Simplify right side
    17,960.38x = 247,918,238.98
  5. Step 5: Solve for x
    x = 247,918,238.98/17,960.38
  6. Step 6: Final answer
    x = 13,803.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.