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Finding the Fourth Proportional to 17,232.71, 25,828.21 and 7,859.90

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Solution

The fourth proportional to 17,232.71, 25,828.21 and 7,859.90 is: 11,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.71 : 25,828.21 = 7,859.90 : x
  2. Step 2: Convert to fraction form
    17,232.71/25,828.21 = 7,859.90/x
  3. Step 3: Cross multiply
    17,232.71x = 25,828.21 × 7,859.90
  4. Step 4: Simplify right side
    17,232.71x = 203,007,147.78
  5. Step 5: Solve for x
    x = 203,007,147.78/17,232.71
  6. Step 6: Final answer
    x = 11,780.34

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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.