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Finding the Fourth Proportional to 17,674.50, 24,390.83 and 9,717.24

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Solution

The fourth proportional to 17,674.50, 24,390.83 and 9,717.24 is: 13,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.50 : 24,390.83 = 9,717.24 : x
  2. Step 2: Convert to fraction form
    17,674.50/24,390.83 = 9,717.24/x
  3. Step 3: Cross multiply
    17,674.50x = 24,390.83 × 9,717.24
  4. Step 4: Simplify right side
    17,674.50x = 237,011,664.67
  5. Step 5: Solve for x
    x = 237,011,664.67/17,674.50
  6. Step 6: Final answer
    x = 13,409.81

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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.