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Finding the Fourth Proportional to 27,170.74, 40,760.21 and 9,636.47

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Solution

The fourth proportional to 27,170.74, 40,760.21 and 9,636.47 is: 14,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.74 : 40,760.21 = 9,636.47 : x
  2. Step 2: Convert to fraction form
    27,170.74/40,760.21 = 9,636.47/x
  3. Step 3: Cross multiply
    27,170.74x = 40,760.21 × 9,636.47
  4. Step 4: Simplify right side
    27,170.74x = 392,784,514.00
  5. Step 5: Solve for x
    x = 392,784,514.00/27,170.74
  6. Step 6: Final answer
    x = 14,456.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.