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Finding the Fourth Proportional to 12,140.94, 16,753.56 and 6,835.44

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Solution

The fourth proportional to 12,140.94, 16,753.56 and 6,835.44 is: 9,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.94 : 16,753.56 = 6,835.44 : x
  2. Step 2: Convert to fraction form
    12,140.94/16,753.56 = 6,835.44/x
  3. Step 3: Cross multiply
    12,140.94x = 16,753.56 × 6,835.44
  4. Step 4: Simplify right side
    12,140.94x = 114,517,954.17
  5. Step 5: Solve for x
    x = 114,517,954.17/12,140.94
  6. Step 6: Final answer
    x = 9,432.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.