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Finding the Fourth Proportional to 14,786.22, 20,401.08 and 8,412.87

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Solution

The fourth proportional to 14,786.22, 20,401.08 and 8,412.87 is: 11,607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.22 : 20,401.08 = 8,412.87 : x
  2. Step 2: Convert to fraction form
    14,786.22/20,401.08 = 8,412.87/x
  3. Step 3: Cross multiply
    14,786.22x = 20,401.08 × 8,412.87
  4. Step 4: Simplify right side
    14,786.22x = 171,631,633.90
  5. Step 5: Solve for x
    x = 171,631,633.90/14,786.22
  6. Step 6: Final answer
    x = 11,607.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.