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Finding the Fourth Proportional to 17,091.38, 23,586.08 and 9,537.26

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Solution

The fourth proportional to 17,091.38, 23,586.08 and 9,537.26 is: 13,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.38 : 23,586.08 = 9,537.26 : x
  2. Step 2: Convert to fraction form
    17,091.38/23,586.08 = 9,537.26/x
  3. Step 3: Cross multiply
    17,091.38x = 23,586.08 × 9,537.26
  4. Step 4: Simplify right side
    17,091.38x = 224,946,411.72
  5. Step 5: Solve for x
    x = 224,946,411.72/17,091.38
  6. Step 6: Final answer
    x = 13,161.40

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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.