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Finding the Fourth Proportional to 12,632.33, 17,431.26 and 6,966.69

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Solution

The fourth proportional to 12,632.33, 17,431.26 and 6,966.69 is: 9,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.33 : 17,431.26 = 6,966.69 : x
  2. Step 2: Convert to fraction form
    12,632.33/17,431.26 = 6,966.69/x
  3. Step 3: Cross multiply
    12,632.33x = 17,431.26 × 6,966.69
  4. Step 4: Simplify right side
    12,632.33x = 121,438,184.73
  5. Step 5: Solve for x
    x = 121,438,184.73/12,632.33
  6. Step 6: Final answer
    x = 9,613.29

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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.