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Finding the Fourth Proportional to 16,281.84, 22,469.88 and 9,208.92

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Solution

The fourth proportional to 16,281.84, 22,469.88 and 9,208.92 is: 12,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.84 : 22,469.88 = 9,208.92 : x
  2. Step 2: Convert to fraction form
    16,281.84/22,469.88 = 9,208.92/x
  3. Step 3: Cross multiply
    16,281.84x = 22,469.88 × 9,208.92
  4. Step 4: Simplify right side
    16,281.84x = 206,923,327.33
  5. Step 5: Solve for x
    x = 206,923,327.33/16,281.84
  6. Step 6: Final answer
    x = 12,708.84

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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.