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Finding the Fourth Proportional to 17,231.84, 23,782.16 and 10,516.04

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Solution

The fourth proportional to 17,231.84, 23,782.16 and 10,516.04 is: 14,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.84 : 23,782.16 = 10,516.04 : x
  2. Step 2: Convert to fraction form
    17,231.84/23,782.16 = 10,516.04/x
  3. Step 3: Cross multiply
    17,231.84x = 23,782.16 × 10,516.04
  4. Step 4: Simplify right side
    17,231.84x = 250,094,145.85
  5. Step 5: Solve for x
    x = 250,094,145.85/17,231.84
  6. Step 6: Final answer
    x = 14,513.49

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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.