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Finding the Fourth Proportional to 20,530.80, 30,784.42 and 8,036.20

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Solution

The fourth proportional to 20,530.80, 30,784.42 and 8,036.20 is: 12,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.80 : 30,784.42 = 8,036.20 : x
  2. Step 2: Convert to fraction form
    20,530.80/30,784.42 = 8,036.20/x
  3. Step 3: Cross multiply
    20,530.80x = 30,784.42 × 8,036.20
  4. Step 4: Simplify right side
    20,530.80x = 247,389,727.34
  5. Step 5: Solve for x
    x = 247,389,727.34/20,530.80
  6. Step 6: Final answer
    x = 12,049.69

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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.