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Finding the Fourth Proportional to 17,674.96, 24,390.82 and 9,717.12

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Solution

The fourth proportional to 17,674.96, 24,390.82 and 9,717.12 is: 13,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.96 : 24,390.82 = 9,717.12 : x
  2. Step 2: Convert to fraction form
    17,674.96/24,390.82 = 9,717.12/x
  3. Step 3: Cross multiply
    17,674.96x = 24,390.82 × 9,717.12
  4. Step 4: Simplify right side
    17,674.96x = 237,008,561.52
  5. Step 5: Solve for x
    x = 237,008,561.52/17,674.96
  6. Step 6: Final answer
    x = 13,409.29

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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.