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Finding the Fourth Proportional to 12,642.60, 18,963.90 and 6,801.96

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Solution

The fourth proportional to 12,642.60, 18,963.90 and 6,801.96 is: 10,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.60 : 18,963.90 = 6,801.96 : x
  2. Step 2: Convert to fraction form
    12,642.60/18,963.90 = 6,801.96/x
  3. Step 3: Cross multiply
    12,642.60x = 18,963.90 × 6,801.96
  4. Step 4: Simplify right side
    12,642.60x = 128,991,689.24
  5. Step 5: Solve for x
    x = 128,991,689.24/12,642.60
  6. Step 6: Final answer
    x = 10,202.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.