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Finding the Fourth Proportional to 17,571.89, 26,339.47 and 7,702.85

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Solution

The fourth proportional to 17,571.89, 26,339.47 and 7,702.85 is: 11,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.89 : 26,339.47 = 7,702.85 : x
  2. Step 2: Convert to fraction form
    17,571.89/26,339.47 = 7,702.85/x
  3. Step 3: Cross multiply
    17,571.89x = 26,339.47 × 7,702.85
  4. Step 4: Simplify right side
    17,571.89x = 202,888,986.49
  5. Step 5: Solve for x
    x = 202,888,986.49/17,571.89
  6. Step 6: Final answer
    x = 11,546.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.