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Finding the Fourth Proportional to 13,467, 18,581.64 and 7,801.41

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Solution

The fourth proportional to 13,467, 18,581.64 and 7,801.41 is: 10,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467 : 18,581.64 = 7,801.41 : x
  2. Step 2: Convert to fraction form
    13,467/18,581.64 = 7,801.41/x
  3. Step 3: Cross multiply
    13,467x = 18,581.64 × 7,801.41
  4. Step 4: Simplify right side
    13,467x = 144,962,992.11
  5. Step 5: Solve for x
    x = 144,962,992.11/13,467
  6. Step 6: Final answer
    x = 10,764.31

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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.