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Finding the Fourth Proportional to 20,582.48, 30,870.84 and 6,542.48

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Solution

The fourth proportional to 20,582.48, 30,870.84 and 6,542.48 is: 9,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.48 : 30,870.84 = 6,542.48 : x
  2. Step 2: Convert to fraction form
    20,582.48/30,870.84 = 6,542.48/x
  3. Step 3: Cross multiply
    20,582.48x = 30,870.84 × 6,542.48
  4. Step 4: Simplify right side
    20,582.48x = 201,971,853.28
  5. Step 5: Solve for x
    x = 201,971,853.28/20,582.48
  6. Step 6: Final answer
    x = 9,812.80

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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.