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Finding the Fourth Proportional to 12,631.44, 17,431.53 and 6,966.43

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Solution

The fourth proportional to 12,631.44, 17,431.53 and 6,966.43 is: 9,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.44 : 17,431.53 = 6,966.43 : x
  2. Step 2: Convert to fraction form
    12,631.44/17,431.53 = 6,966.43/x
  3. Step 3: Cross multiply
    12,631.44x = 17,431.53 × 6,966.43
  4. Step 4: Simplify right side
    12,631.44x = 121,435,532.45
  5. Step 5: Solve for x
    x = 121,435,532.45/12,631.44
  6. Step 6: Final answer
    x = 9,613.75

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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.