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Finding the Fourth Proportional to 12,474.24, 17,214.49 and 7,096.04

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Solution

The fourth proportional to 12,474.24, 17,214.49 and 7,096.04 is: 9,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.24 : 17,214.49 = 7,096.04 : x
  2. Step 2: Convert to fraction form
    12,474.24/17,214.49 = 7,096.04/x
  3. Step 3: Cross multiply
    12,474.24x = 17,214.49 × 7,096.04
  4. Step 4: Simplify right side
    12,474.24x = 122,154,709.62
  5. Step 5: Solve for x
    x = 122,154,709.62/12,474.24
  6. Step 6: Final answer
    x = 9,792.56

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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.