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Finding the Fourth Proportional to 12,017.85, 16,584.26 and 6,713.16

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Solution

The fourth proportional to 12,017.85, 16,584.26 and 6,713.16 is: 9,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.85 : 16,584.26 = 6,713.16 : x
  2. Step 2: Convert to fraction form
    12,017.85/16,584.26 = 6,713.16/x
  3. Step 3: Cross multiply
    12,017.85x = 16,584.26 × 6,713.16
  4. Step 4: Simplify right side
    12,017.85x = 111,332,757.30
  5. Step 5: Solve for x
    x = 111,332,757.30/12,017.85
  6. Step 6: Final answer
    x = 9,263.95

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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.