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Finding the Fourth Proportional to 16,222.27, 22,386.77 and 8,770.27

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Solution

The fourth proportional to 16,222.27, 22,386.77 and 8,770.27 is: 12,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.27 : 22,386.77 = 8,770.27 : x
  2. Step 2: Convert to fraction form
    16,222.27/22,386.77 = 8,770.27/x
  3. Step 3: Cross multiply
    16,222.27x = 22,386.77 × 8,770.27
  4. Step 4: Simplify right side
    16,222.27x = 196,338,017.33
  5. Step 5: Solve for x
    x = 196,338,017.33/16,222.27
  6. Step 6: Final answer
    x = 12,102.99

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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.