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Finding the Fourth Proportional to 16,216.00, 22,377.20 and 9,141.96

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Solution

The fourth proportional to 16,216.00, 22,377.20 and 9,141.96 is: 12,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.00 : 22,377.20 = 9,141.96 : x
  2. Step 2: Convert to fraction form
    16,216.00/22,377.20 = 9,141.96/x
  3. Step 3: Cross multiply
    16,216.00x = 22,377.20 × 9,141.96
  4. Step 4: Simplify right side
    16,216.00x = 204,571,535.28
  5. Step 5: Solve for x
    x = 204,571,535.28/16,216.00
  6. Step 6: Final answer
    x = 12,615.42

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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.