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Finding the Fourth Proportional to 18,705.69, 25,814.25 and 11,153.43

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Solution

The fourth proportional to 18,705.69, 25,814.25 and 11,153.43 is: 15,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705.69 : 25,814.25 = 11,153.43 : x
  2. Step 2: Convert to fraction form
    18,705.69/25,814.25 = 11,153.43/x
  3. Step 3: Cross multiply
    18,705.69x = 25,814.25 × 11,153.43
  4. Step 4: Simplify right side
    18,705.69x = 287,917,430.38
  5. Step 5: Solve for x
    x = 287,917,430.38/18,705.69
  6. Step 6: Final answer
    x = 15,391.97

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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.