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Finding the Fourth Proportional to 19,976.16, 29,960 and 5,936.32

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Solution

The fourth proportional to 19,976.16, 29,960 and 5,936.32 is: 8,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.16 : 29,960 = 5,936.32 : x
  2. Step 2: Convert to fraction form
    19,976.16/29,960 = 5,936.32/x
  3. Step 3: Cross multiply
    19,976.16x = 29,960 × 5,936.32
  4. Step 4: Simplify right side
    19,976.16x = 177,852,147.20
  5. Step 5: Solve for x
    x = 177,852,147.20/19,976.16
  6. Step 6: Final answer
    x = 8,903.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.