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Finding the Fourth Proportional to 12,449.16, 17,180.30 and 7,668.14

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Solution

The fourth proportional to 12,449.16, 17,180.30 and 7,668.14 is: 10,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.16 : 17,180.30 = 7,668.14 : x
  2. Step 2: Convert to fraction form
    12,449.16/17,180.30 = 7,668.14/x
  3. Step 3: Cross multiply
    12,449.16x = 17,180.30 × 7,668.14
  4. Step 4: Simplify right side
    12,449.16x = 131,740,878.91
  5. Step 5: Solve for x
    x = 131,740,878.91/12,449.16
  6. Step 6: Final answer
    x = 10,582.31

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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.