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Finding the Fourth Proportional to 12,310.73, 16,986.56 and 6,932.33

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Solution

The fourth proportional to 12,310.73, 16,986.56 and 6,932.33 is: 9,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.73 : 16,986.56 = 6,932.33 : x
  2. Step 2: Convert to fraction form
    12,310.73/16,986.56 = 6,932.33/x
  3. Step 3: Cross multiply
    12,310.73x = 16,986.56 × 6,932.33
  4. Step 4: Simplify right side
    12,310.73x = 117,756,319.89
  5. Step 5: Solve for x
    x = 117,756,319.89/12,310.73
  6. Step 6: Final answer
    x = 9,565.34

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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.