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Finding the Fourth Proportional to 20,487.99, 30,725.15 and 8,004.78

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Solution

The fourth proportional to 20,487.99, 30,725.15 and 8,004.78 is: 12,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.99 : 30,725.15 = 8,004.78 : x
  2. Step 2: Convert to fraction form
    20,487.99/30,725.15 = 8,004.78/x
  3. Step 3: Cross multiply
    20,487.99x = 30,725.15 × 8,004.78
  4. Step 4: Simplify right side
    20,487.99x = 245,948,066.22
  5. Step 5: Solve for x
    x = 245,948,066.22/20,487.99
  6. Step 6: Final answer
    x = 12,004.50

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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.