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Finding the Fourth Proportional to 17,584.32, 26,382 and 7,731.88

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Solution

The fourth proportional to 17,584.32, 26,382 and 7,731.88 is: 11,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.32 : 26,382 = 7,731.88 : x
  2. Step 2: Convert to fraction form
    17,584.32/26,382 = 7,731.88/x
  3. Step 3: Cross multiply
    17,584.32x = 26,382 × 7,731.88
  4. Step 4: Simplify right side
    17,584.32x = 203,982,458.16
  5. Step 5: Solve for x
    x = 203,982,458.16/17,584.32
  6. Step 6: Final answer
    x = 11,600.25

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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.