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Finding the Fourth Proportional to 12,668.20, 17,481.76 and 6,925.42

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Solution

The fourth proportional to 12,668.20, 17,481.76 and 6,925.42 is: 9,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.20 : 17,481.76 = 6,925.42 : x
  2. Step 2: Convert to fraction form
    12,668.20/17,481.76 = 6,925.42/x
  3. Step 3: Cross multiply
    12,668.20x = 17,481.76 × 6,925.42
  4. Step 4: Simplify right side
    12,668.20x = 121,068,530.34
  5. Step 5: Solve for x
    x = 121,068,530.34/12,668.20
  6. Step 6: Final answer
    x = 9,556.88

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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.