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Finding the Fourth Proportional to 12,222.46, 16,866.97 and 6,633.46

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Solution

The fourth proportional to 12,222.46, 16,866.97 and 6,633.46 is: 9,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.46 : 16,866.97 = 6,633.46 : x
  2. Step 2: Convert to fraction form
    12,222.46/16,866.97 = 6,633.46/x
  3. Step 3: Cross multiply
    12,222.46x = 16,866.97 × 6,633.46
  4. Step 4: Simplify right side
    12,222.46x = 111,886,370.82
  5. Step 5: Solve for x
    x = 111,886,370.82/12,222.46
  6. Step 6: Final answer
    x = 9,154.16

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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.