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Finding the Fourth Proportional to 27,510.98, 41,272.56 and 9,982.20

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Solution

The fourth proportional to 27,510.98, 41,272.56 and 9,982.20 is: 14,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510.98 : 41,272.56 = 9,982.20 : x
  2. Step 2: Convert to fraction form
    27,510.98/41,272.56 = 9,982.20/x
  3. Step 3: Cross multiply
    27,510.98x = 41,272.56 × 9,982.20
  4. Step 4: Simplify right side
    27,510.98x = 411,990,948.43
  5. Step 5: Solve for x
    x = 411,990,948.43/27,510.98
  6. Step 6: Final answer
    x = 14,975.51

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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.