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Finding the Fourth Proportional to 15,857.28, 23,751.36 and 7,632

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Solution

The fourth proportional to 15,857.28, 23,751.36 and 7,632 is: 11,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.28 : 23,751.36 = 7,632 : x
  2. Step 2: Convert to fraction form
    15,857.28/23,751.36 = 7,632/x
  3. Step 3: Cross multiply
    15,857.28x = 23,751.36 × 7,632
  4. Step 4: Simplify right side
    15,857.28x = 181,270,379.52
  5. Step 5: Solve for x
    x = 181,270,379.52/15,857.28
  6. Step 6: Final answer
    x = 11,431.37

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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.