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Finding the Fourth Proportional to 17,412.68, 24,024.70 and 11,446.27

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Solution

The fourth proportional to 17,412.68, 24,024.70 and 11,446.27 is: 15,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.68 : 24,024.70 = 11,446.27 : x
  2. Step 2: Convert to fraction form
    17,412.68/24,024.70 = 11,446.27/x
  3. Step 3: Cross multiply
    17,412.68x = 24,024.70 × 11,446.27
  4. Step 4: Simplify right side
    17,412.68x = 274,993,202.87
  5. Step 5: Solve for x
    x = 274,993,202.87/17,412.68
  6. Step 6: Final answer
    x = 15,792.70

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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.