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Finding the Fourth Proportional to 12,631.84, 17,431.17 and 6,966.65

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Solution

The fourth proportional to 12,631.84, 17,431.17 and 6,966.65 is: 9,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.84 : 17,431.17 = 6,966.65 : x
  2. Step 2: Convert to fraction form
    12,631.84/17,431.17 = 6,966.65/x
  3. Step 3: Cross multiply
    12,631.84x = 17,431.17 × 6,966.65
  4. Step 4: Simplify right side
    12,631.84x = 121,436,860.48
  5. Step 5: Solve for x
    x = 121,436,860.48/12,631.84
  6. Step 6: Final answer
    x = 9,613.55

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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.