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Finding the Fourth Proportional to 12,180.78, 16,808.31 and 9,668.97

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Solution

The fourth proportional to 12,180.78, 16,808.31 and 9,668.97 is: 13,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.78 : 16,808.31 = 9,668.97 : x
  2. Step 2: Convert to fraction form
    12,180.78/16,808.31 = 9,668.97/x
  3. Step 3: Cross multiply
    12,180.78x = 16,808.31 × 9,668.97
  4. Step 4: Simplify right side
    12,180.78x = 162,519,045.14
  5. Step 5: Solve for x
    x = 162,519,045.14/12,180.78
  6. Step 6: Final answer
    x = 13,342.25

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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.