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Finding the Fourth Proportional to 17,674.74, 24,391.02 and 9,716.76

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Solution

The fourth proportional to 17,674.74, 24,391.02 and 9,716.76 is: 13,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.74 : 24,391.02 = 9,716.76 : x
  2. Step 2: Convert to fraction form
    17,674.74/24,391.02 = 9,716.76/x
  3. Step 3: Cross multiply
    17,674.74x = 24,391.02 × 9,716.76
  4. Step 4: Simplify right side
    17,674.74x = 237,001,687.50
  5. Step 5: Solve for x
    x = 237,001,687.50/17,674.74
  6. Step 6: Final answer
    x = 13,409.06

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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.