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Finding the Fourth Proportional to 12,668.40, 17,481.42 and 7,631.42

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Solution

The fourth proportional to 12,668.40, 17,481.42 and 7,631.42 is: 10,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.40 : 17,481.42 = 7,631.42 : x
  2. Step 2: Convert to fraction form
    12,668.40/17,481.42 = 7,631.42/x
  3. Step 3: Cross multiply
    12,668.40x = 17,481.42 × 7,631.42
  4. Step 4: Simplify right side
    12,668.40x = 133,407,970.81
  5. Step 5: Solve for x
    x = 133,407,970.81/12,668.40
  6. Step 6: Final answer
    x = 10,530.77

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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.