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Finding the Fourth Proportional to 20,582.79, 30,859.20 and 6,538.20

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Solution

The fourth proportional to 20,582.79, 30,859.20 and 6,538.20 is: 9,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.79 : 30,859.20 = 6,538.20 : x
  2. Step 2: Convert to fraction form
    20,582.79/30,859.20 = 6,538.20/x
  3. Step 3: Cross multiply
    20,582.79x = 30,859.20 × 6,538.20
  4. Step 4: Simplify right side
    20,582.79x = 201,763,621.44
  5. Step 5: Solve for x
    x = 201,763,621.44/20,582.79
  6. Step 6: Final answer
    x = 9,802.54

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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.