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Finding the Fourth Proportional to 13,006, 17,949.36 and 7,418.08

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Solution

The fourth proportional to 13,006, 17,949.36 and 7,418.08 is: 10,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006 : 17,949.36 = 7,418.08 : x
  2. Step 2: Convert to fraction form
    13,006/17,949.36 = 7,418.08/x
  3. Step 3: Cross multiply
    13,006x = 17,949.36 × 7,418.08
  4. Step 4: Simplify right side
    13,006x = 133,149,788.43
  5. Step 5: Solve for x
    x = 133,149,788.43/13,006
  6. Step 6: Final answer
    x = 10,237.57

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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.