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Finding the Fourth Proportional to 13,664.88, 20,486.92 and 5,769.81

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Solution

The fourth proportional to 13,664.88, 20,486.92 and 5,769.81 is: 8,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.88 : 20,486.92 = 5,769.81 : x
  2. Step 2: Convert to fraction form
    13,664.88/20,486.92 = 5,769.81/x
  3. Step 3: Cross multiply
    13,664.88x = 20,486.92 × 5,769.81
  4. Step 4: Simplify right side
    13,664.88x = 118,205,635.89
  5. Step 5: Solve for x
    x = 118,205,635.89/13,664.88
  6. Step 6: Final answer
    x = 8,650.32

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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.