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Finding the Fourth Proportional to 15,757.97, 23,639.77 and 5,228.63

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Solution

The fourth proportional to 15,757.97, 23,639.77 and 5,228.63 is: 7,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.97 : 23,639.77 = 5,228.63 : x
  2. Step 2: Convert to fraction form
    15,757.97/23,639.77 = 5,228.63/x
  3. Step 3: Cross multiply
    15,757.97x = 23,639.77 × 5,228.63
  4. Step 4: Simplify right side
    15,757.97x = 123,603,521.11
  5. Step 5: Solve for x
    x = 123,603,521.11/15,757.97
  6. Step 6: Final answer
    x = 7,843.87

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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.