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Finding the Fourth Proportional to 27,510.14, 41,265.18 and 9,974.18

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Solution

The fourth proportional to 27,510.14, 41,265.18 and 9,974.18 is: 14,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,510.14 : 41,265.18 = 9,974.18 : x
  2. Step 2: Convert to fraction form
    27,510.14/41,265.18 = 9,974.18/x
  3. Step 3: Cross multiply
    27,510.14x = 41,265.18 × 9,974.18
  4. Step 4: Simplify right side
    27,510.14x = 411,586,333.05
  5. Step 5: Solve for x
    x = 411,586,333.05/27,510.14
  6. Step 6: Final answer
    x = 14,961.26

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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.