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Finding the Fourth Proportional to 27,512.63, 41,269.01 and 9,982.47

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Solution

The fourth proportional to 27,512.63, 41,269.01 and 9,982.47 is: 14,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.63 : 41,269.01 = 9,982.47 : x
  2. Step 2: Convert to fraction form
    27,512.63/41,269.01 = 9,982.47/x
  3. Step 3: Cross multiply
    27,512.63x = 41,269.01 × 9,982.47
  4. Step 4: Simplify right side
    27,512.63x = 411,966,604.34
  5. Step 5: Solve for x
    x = 411,966,604.34/27,512.63
  6. Step 6: Final answer
    x = 14,973.73

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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.