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Finding the Fourth Proportional to 17,516.16, 24,172.31 and 11,228.54

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Solution

The fourth proportional to 17,516.16, 24,172.31 and 11,228.54 is: 15,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,516.16 : 24,172.31 = 11,228.54 : x
  2. Step 2: Convert to fraction form
    17,516.16/24,172.31 = 11,228.54/x
  3. Step 3: Cross multiply
    17,516.16x = 24,172.31 × 11,228.54
  4. Step 4: Simplify right side
    17,516.16x = 271,419,572.72
  5. Step 5: Solve for x
    x = 271,419,572.72/17,516.16
  6. Step 6: Final answer
    x = 15,495.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.