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Finding the Fourth Proportional to 12,223.24, 16,868.47 and 6,917.94

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Solution

The fourth proportional to 12,223.24, 16,868.47 and 6,917.94 is: 9,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.24 : 16,868.47 = 6,917.94 : x
  2. Step 2: Convert to fraction form
    12,223.24/16,868.47 = 6,917.94/x
  3. Step 3: Cross multiply
    12,223.24x = 16,868.47 × 6,917.94
  4. Step 4: Simplify right side
    12,223.24x = 116,695,046.06
  5. Step 5: Solve for x
    x = 116,695,046.06/12,223.24
  6. Step 6: Final answer
    x = 9,546.98

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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.