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Finding the Fourth Proportional to 16,282.85, 22,469.27 and 9,111.56

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Solution

The fourth proportional to 16,282.85, 22,469.27 and 9,111.56 is: 12,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.85 : 22,469.27 = 9,111.56 : x
  2. Step 2: Convert to fraction form
    16,282.85/22,469.27 = 9,111.56/x
  3. Step 3: Cross multiply
    16,282.85x = 22,469.27 × 9,111.56
  4. Step 4: Simplify right side
    16,282.85x = 204,729,943.86
  5. Step 5: Solve for x
    x = 204,729,943.86/16,282.85
  6. Step 6: Final answer
    x = 12,573.35

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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.