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Finding the Fourth Proportional to 18,194.69, 25,107.32 and 10,235.38

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Solution

The fourth proportional to 18,194.69, 25,107.32 and 10,235.38 is: 14,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.69 : 25,107.32 = 10,235.38 : x
  2. Step 2: Convert to fraction form
    18,194.69/25,107.32 = 10,235.38/x
  3. Step 3: Cross multiply
    18,194.69x = 25,107.32 × 10,235.38
  4. Step 4: Simplify right side
    18,194.69x = 256,982,960.98
  5. Step 5: Solve for x
    x = 256,982,960.98/18,194.69
  6. Step 6: Final answer
    x = 14,124.06

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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.