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Finding the Fourth Proportional to 17,586, 26,385.48 and 9,265.68

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Solution

The fourth proportional to 17,586, 26,385.48 and 9,265.68 is: 13,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586 : 26,385.48 = 9,265.68 : x
  2. Step 2: Convert to fraction form
    17,586/26,385.48 = 9,265.68/x
  3. Step 3: Cross multiply
    17,586x = 26,385.48 × 9,265.68
  4. Step 4: Simplify right side
    17,586x = 244,479,414.33
  5. Step 5: Solve for x
    x = 244,479,414.33/17,586
  6. Step 6: Final answer
    x = 13,901.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.