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Finding the Fourth Proportional to 17,571.34, 26,352.86 and 6,472.00

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Solution

The fourth proportional to 17,571.34, 26,352.86 and 6,472.00 is: 9,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.34 : 26,352.86 = 6,472.00 : x
  2. Step 2: Convert to fraction form
    17,571.34/26,352.86 = 6,472.00/x
  3. Step 3: Cross multiply
    17,571.34x = 26,352.86 × 6,472.00
  4. Step 4: Simplify right side
    17,571.34x = 170,555,578.16
  5. Step 5: Solve for x
    x = 170,555,578.16/17,571.34
  6. Step 6: Final answer
    x = 9,706.47

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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.