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Finding the Fourth Proportional to 14,786.16, 20,405.12 and 8,821.24

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Solution

The fourth proportional to 14,786.16, 20,405.12 and 8,821.24 is: 12,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.16 : 20,405.12 = 8,821.24 : x
  2. Step 2: Convert to fraction form
    14,786.16/20,405.12 = 8,821.24/x
  3. Step 3: Cross multiply
    14,786.16x = 20,405.12 × 8,821.24
  4. Step 4: Simplify right side
    14,786.16x = 179,998,460.75
  5. Step 5: Solve for x
    x = 179,998,460.75/14,786.16
  6. Step 6: Final answer
    x = 12,173.44

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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.