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Finding the Fourth Proportional to 13,927, 19,219.26 and 7,639.39

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Solution

The fourth proportional to 13,927, 19,219.26 and 7,639.39 is: 10,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927 : 19,219.26 = 7,639.39 : x
  2. Step 2: Convert to fraction form
    13,927/19,219.26 = 7,639.39/x
  3. Step 3: Cross multiply
    13,927x = 19,219.26 × 7,639.39
  4. Step 4: Simplify right side
    13,927x = 146,823,422.65
  5. Step 5: Solve for x
    x = 146,823,422.65/13,927
  6. Step 6: Final answer
    x = 10,542.36

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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.