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Finding the Fourth Proportional to 17,328, 25,994.70 and 5,638.46

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Solution

The fourth proportional to 17,328, 25,994.70 and 5,638.46 is: 8,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328 : 25,994.70 = 5,638.46 : x
  2. Step 2: Convert to fraction form
    17,328/25,994.70 = 5,638.46/x
  3. Step 3: Cross multiply
    17,328x = 25,994.70 × 5,638.46
  4. Step 4: Simplify right side
    17,328x = 146,570,076.16
  5. Step 5: Solve for x
    x = 146,570,076.16/17,328
  6. Step 6: Final answer
    x = 8,458.57

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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.