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Finding the Fourth Proportional to 12,083.85, 16,668.03 and 8,731.59

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Solution

The fourth proportional to 12,083.85, 16,668.03 and 8,731.59 is: 12,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.85 : 16,668.03 = 8,731.59 : x
  2. Step 2: Convert to fraction form
    12,083.85/16,668.03 = 8,731.59/x
  3. Step 3: Cross multiply
    12,083.85x = 16,668.03 × 8,731.59
  4. Step 4: Simplify right side
    12,083.85x = 145,538,404.07
  5. Step 5: Solve for x
    x = 145,538,404.07/12,083.85
  6. Step 6: Final answer
    x = 12,044.04

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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.