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Finding the Fourth Proportional to 12,174.46, 16,800.72 and 6,585.46

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Solution

The fourth proportional to 12,174.46, 16,800.72 and 6,585.46 is: 9,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.46 : 16,800.72 = 6,585.46 : x
  2. Step 2: Convert to fraction form
    12,174.46/16,800.72 = 6,585.46/x
  3. Step 3: Cross multiply
    12,174.46x = 16,800.72 × 6,585.46
  4. Step 4: Simplify right side
    12,174.46x = 110,640,469.53
  5. Step 5: Solve for x
    x = 110,640,469.53/12,174.46
  6. Step 6: Final answer
    x = 9,087.92

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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.