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Finding the Fourth Proportional to 17,069.57, 23,556.10 and 9,516.38

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Solution

The fourth proportional to 17,069.57, 23,556.10 and 9,516.38 is: 13,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,069.57 : 23,556.10 = 9,516.38 : x
  2. Step 2: Convert to fraction form
    17,069.57/23,556.10 = 9,516.38/x
  3. Step 3: Cross multiply
    17,069.57x = 23,556.10 × 9,516.38
  4. Step 4: Simplify right side
    17,069.57x = 224,168,657.35
  5. Step 5: Solve for x
    x = 224,168,657.35/17,069.57
  6. Step 6: Final answer
    x = 13,132.65

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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.