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Finding the Fourth Proportional to 25,013, 34,517.96 and 13,835

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Solution

The fourth proportional to 25,013, 34,517.96 and 13,835 is: 19,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013 : 34,517.96 = 13,835 : x
  2. Step 2: Convert to fraction form
    25,013/34,517.96 = 13,835/x
  3. Step 3: Cross multiply
    25,013x = 34,517.96 × 13,835
  4. Step 4: Simplify right side
    25,013x = 477,555,976.60
  5. Step 5: Solve for x
    x = 477,555,976.60/25,013
  6. Step 6: Final answer
    x = 19,092.31

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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.