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Finding the Fourth Proportional to 17,338, 26,009.68 and 5,648.48

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Solution

The fourth proportional to 17,338, 26,009.68 and 5,648.48 is: 8,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338 : 26,009.68 = 5,648.48 : x
  2. Step 2: Convert to fraction form
    17,338/26,009.68 = 5,648.48/x
  3. Step 3: Cross multiply
    17,338x = 26,009.68 × 5,648.48
  4. Step 4: Simplify right side
    17,338x = 146,915,157.29
  5. Step 5: Solve for x
    x = 146,915,157.29/17,338
  6. Step 6: Final answer
    x = 8,473.59

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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.