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Finding the Fourth Proportional to 13,042.87, 17,994.26 and 9,648.01

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Solution

The fourth proportional to 13,042.87, 17,994.26 and 9,648.01 is: 13,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.87 : 17,994.26 = 9,648.01 : x
  2. Step 2: Convert to fraction form
    13,042.87/17,994.26 = 9,648.01/x
  3. Step 3: Cross multiply
    13,042.87x = 17,994.26 × 9,648.01
  4. Step 4: Simplify right side
    13,042.87x = 173,608,752.18
  5. Step 5: Solve for x
    x = 173,608,752.18/13,042.87
  6. Step 6: Final answer
    x = 13,310.63

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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.