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Finding the Fourth Proportional to 12,310, 16,946.75 and 11,745.09

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Solution

The fourth proportional to 12,310, 16,946.75 and 11,745.09 is: 16,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310 : 16,946.75 = 11,745.09 : x
  2. Step 2: Convert to fraction form
    12,310/16,946.75 = 11,745.09/x
  3. Step 3: Cross multiply
    12,310x = 16,946.75 × 11,745.09
  4. Step 4: Simplify right side
    12,310x = 199,041,103.96
  5. Step 5: Solve for x
    x = 199,041,103.96/12,310
  6. Step 6: Final answer
    x = 16,169.06

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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.