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Finding the Fourth Proportional to 17,578.32, 26,373 and 7,725.88

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Solution

The fourth proportional to 17,578.32, 26,373 and 7,725.88 is: 11,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.32 : 26,373 = 7,725.88 : x
  2. Step 2: Convert to fraction form
    17,578.32/26,373 = 7,725.88/x
  3. Step 3: Cross multiply
    17,578.32x = 26,373 × 7,725.88
  4. Step 4: Simplify right side
    17,578.32x = 203,754,633.24
  5. Step 5: Solve for x
    x = 203,754,633.24/17,578.32
  6. Step 6: Final answer
    x = 11,591.25

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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.