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Finding the Fourth Proportional to 16,220.12, 22,383.80 and 8,768.12

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Solution

The fourth proportional to 16,220.12, 22,383.80 and 8,768.12 is: 12,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.12 : 22,383.80 = 8,768.12 : x
  2. Step 2: Convert to fraction form
    16,220.12/22,383.80 = 8,768.12/x
  3. Step 3: Cross multiply
    16,220.12x = 22,383.80 × 8,768.12
  4. Step 4: Simplify right side
    16,220.12x = 196,263,844.46
  5. Step 5: Solve for x
    x = 196,263,844.46/16,220.12
  6. Step 6: Final answer
    x = 12,100.02

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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.