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Finding the Fourth Proportional to 20,649.28, 30,967.83 and 5,859.49

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Solution

The fourth proportional to 20,649.28, 30,967.83 and 5,859.49 is: 8,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.28 : 30,967.83 = 5,859.49 : x
  2. Step 2: Convert to fraction form
    20,649.28/30,967.83 = 5,859.49/x
  3. Step 3: Cross multiply
    20,649.28x = 30,967.83 × 5,859.49
  4. Step 4: Simplify right side
    20,649.28x = 181,455,690.21
  5. Step 5: Solve for x
    x = 181,455,690.21/20,649.28
  6. Step 6: Final answer
    x = 8,787.51

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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.