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Finding the Fourth Proportional to 12,223.20, 16,868.32 and 6,917.76

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Solution

The fourth proportional to 12,223.20, 16,868.32 and 6,917.76 is: 9,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.20 : 16,868.32 = 6,917.76 : x
  2. Step 2: Convert to fraction form
    12,223.20/16,868.32 = 6,917.76/x
  3. Step 3: Cross multiply
    12,223.20x = 16,868.32 × 6,917.76
  4. Step 4: Simplify right side
    12,223.20x = 116,690,989.36
  5. Step 5: Solve for x
    x = 116,690,989.36/12,223.20
  6. Step 6: Final answer
    x = 9,546.68

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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.