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Finding the Fourth Proportional to 12,642.84, 17,443.62 and 8,166.78

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Solution

The fourth proportional to 12,642.84, 17,443.62 and 8,166.78 is: 11,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.84 : 17,443.62 = 8,166.78 : x
  2. Step 2: Convert to fraction form
    12,642.84/17,443.62 = 8,166.78/x
  3. Step 3: Cross multiply
    12,642.84x = 17,443.62 × 8,166.78
  4. Step 4: Simplify right side
    12,642.84x = 142,458,206.94
  5. Step 5: Solve for x
    x = 142,458,206.94/12,642.84
  6. Step 6: Final answer
    x = 11,267.90

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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.