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Finding the Fourth Proportional to 15,738.24, 23,622 and 7,952.52

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Solution

The fourth proportional to 15,738.24, 23,622 and 7,952.52 is: 11,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.24 : 23,622 = 7,952.52 : x
  2. Step 2: Convert to fraction form
    15,738.24/23,622 = 7,952.52/x
  3. Step 3: Cross multiply
    15,738.24x = 23,622 × 7,952.52
  4. Step 4: Simplify right side
    15,738.24x = 187,854,427.44
  5. Step 5: Solve for x
    x = 187,854,427.44/15,738.24
  6. Step 6: Final answer
    x = 11,936.18

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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.