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Finding the Fourth Proportional to 16,505.36, 24,760.49 and 5,976.17

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Solution

The fourth proportional to 16,505.36, 24,760.49 and 5,976.17 is: 8,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.36 : 24,760.49 = 5,976.17 : x
  2. Step 2: Convert to fraction form
    16,505.36/24,760.49 = 5,976.17/x
  3. Step 3: Cross multiply
    16,505.36x = 24,760.49 × 5,976.17
  4. Step 4: Simplify right side
    16,505.36x = 147,972,743.84
  5. Step 5: Solve for x
    x = 147,972,743.84/16,505.36
  6. Step 6: Final answer
    x = 8,965.14

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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.