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Finding the Fourth Proportional to 17,232.64, 25,880.64 and 10,672

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Solution

The fourth proportional to 17,232.64, 25,880.64 and 10,672 is: 16,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.64 : 25,880.64 = 10,672 : x
  2. Step 2: Convert to fraction form
    17,232.64/25,880.64 = 10,672/x
  3. Step 3: Cross multiply
    17,232.64x = 25,880.64 × 10,672
  4. Step 4: Simplify right side
    17,232.64x = 276,198,190.08
  5. Step 5: Solve for x
    x = 276,198,190.08/17,232.64
  6. Step 6: Final answer
    x = 16,027.62

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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.