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Finding the Fourth Proportional to 12,165.10, 16,777.53 and 8,394.28

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Solution

The fourth proportional to 12,165.10, 16,777.53 and 8,394.28 is: 11,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.10 : 16,777.53 = 8,394.28 : x
  2. Step 2: Convert to fraction form
    12,165.10/16,777.53 = 8,394.28/x
  3. Step 3: Cross multiply
    12,165.10x = 16,777.53 × 8,394.28
  4. Step 4: Simplify right side
    12,165.10x = 140,835,284.53
  5. Step 5: Solve for x
    x = 140,835,284.53/12,165.10
  6. Step 6: Final answer
    x = 11,576.99

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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.