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Finding the Fourth Proportional to 12,142.89, 16,756.92 and 6,765.32

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Solution

The fourth proportional to 12,142.89, 16,756.92 and 6,765.32 is: 9,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.89 : 16,756.92 = 6,765.32 : x
  2. Step 2: Convert to fraction form
    12,142.89/16,756.92 = 6,765.32/x
  3. Step 3: Cross multiply
    12,142.89x = 16,756.92 × 6,765.32
  4. Step 4: Simplify right side
    12,142.89x = 113,365,910.13
  5. Step 5: Solve for x
    x = 113,365,910.13/12,142.89
  6. Step 6: Final answer
    x = 9,335.99

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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.