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Finding the Fourth Proportional to 20,594.82, 30,893.32 and 6,553.88

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Solution

The fourth proportional to 20,594.82, 30,893.32 and 6,553.88 is: 9,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.82 : 30,893.32 = 6,553.88 : x
  2. Step 2: Convert to fraction form
    20,594.82/30,893.32 = 6,553.88/x
  3. Step 3: Cross multiply
    20,594.82x = 30,893.32 × 6,553.88
  4. Step 4: Simplify right side
    20,594.82x = 202,471,112.08
  5. Step 5: Solve for x
    x = 202,471,112.08/20,594.82
  6. Step 6: Final answer
    x = 9,831.17

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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.