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Finding the Fourth Proportional to 17,334, 26,003.70 and 5,644.48

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Solution

The fourth proportional to 17,334, 26,003.70 and 5,644.48 is: 8,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334 : 26,003.70 = 5,644.48 : x
  2. Step 2: Convert to fraction form
    17,334/26,003.70 = 5,644.48/x
  3. Step 3: Cross multiply
    17,334x = 26,003.70 × 5,644.48
  4. Step 4: Simplify right side
    17,334x = 146,777,364.58
  5. Step 5: Solve for x
    x = 146,777,364.58/17,334
  6. Step 6: Final answer
    x = 8,467.60

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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.