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Finding the Fourth Proportional to 17,600, 26,386.24 and 9,269.12

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Solution

The fourth proportional to 17,600, 26,386.24 and 9,269.12 is: 13,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600 : 26,386.24 = 9,269.12 : x
  2. Step 2: Convert to fraction form
    17,600/26,386.24 = 9,269.12/x
  3. Step 3: Cross multiply
    17,600x = 26,386.24 × 9,269.12
  4. Step 4: Simplify right side
    17,600x = 244,577,224.91
  5. Step 5: Solve for x
    x = 244,577,224.91/17,600
  6. Step 6: Final answer
    x = 13,896.43

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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.