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Finding the Fourth Proportional to 14,391.76, 21,581.97 and 6,994.03

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Solution

The fourth proportional to 14,391.76, 21,581.97 and 6,994.03 is: 10,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391.76 : 21,581.97 = 6,994.03 : x
  2. Step 2: Convert to fraction form
    14,391.76/21,581.97 = 6,994.03/x
  3. Step 3: Cross multiply
    14,391.76x = 21,581.97 × 6,994.03
  4. Step 4: Simplify right side
    14,391.76x = 150,944,945.64
  5. Step 5: Solve for x
    x = 150,944,945.64/14,391.76
  6. Step 6: Final answer
    x = 10,488.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.