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Finding the Fourth Proportional to 12,704.31, 17,532.59 and 7,668.47

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Solution

The fourth proportional to 12,704.31, 17,532.59 and 7,668.47 is: 10,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.31 : 17,532.59 = 7,668.47 : x
  2. Step 2: Convert to fraction form
    12,704.31/17,532.59 = 7,668.47/x
  3. Step 3: Cross multiply
    12,704.31x = 17,532.59 × 7,668.47
  4. Step 4: Simplify right side
    12,704.31x = 134,448,145.93
  5. Step 5: Solve for x
    x = 134,448,145.93/12,704.31
  6. Step 6: Final answer
    x = 10,582.88

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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.