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Finding the Fourth Proportional to 12,217.16, 16,859.66 and 6,628.16

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Solution

The fourth proportional to 12,217.16, 16,859.66 and 6,628.16 is: 9,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.16 : 16,859.66 = 6,628.16 : x
  2. Step 2: Convert to fraction form
    12,217.16/16,859.66 = 6,628.16/x
  3. Step 3: Cross multiply
    12,217.16x = 16,859.66 × 6,628.16
  4. Step 4: Simplify right side
    12,217.16x = 111,748,524.03
  5. Step 5: Solve for x
    x = 111,748,524.03/12,217.16
  6. Step 6: Final answer
    x = 9,146.85

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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.