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Finding the Fourth Proportional to 15,760, 23,651.36 and 7,969.28

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Solution

The fourth proportional to 15,760, 23,651.36 and 7,969.28 is: 11,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760 : 23,651.36 = 7,969.28 : x
  2. Step 2: Convert to fraction form
    15,760/23,651.36 = 7,969.28/x
  3. Step 3: Cross multiply
    15,760x = 23,651.36 × 7,969.28
  4. Step 4: Simplify right side
    15,760x = 188,484,310.22
  5. Step 5: Solve for x
    x = 188,484,310.22/15,760
  6. Step 6: Final answer
    x = 11,959.66

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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.