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Finding the Fourth Proportional to 20,485.99, 30,722.15 and 8,002.78

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Solution

The fourth proportional to 20,485.99, 30,722.15 and 8,002.78 is: 12,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.99 : 30,722.15 = 8,002.78 : x
  2. Step 2: Convert to fraction form
    20,485.99/30,722.15 = 8,002.78/x
  3. Step 3: Cross multiply
    20,485.99x = 30,722.15 × 8,002.78
  4. Step 4: Simplify right side
    20,485.99x = 245,862,607.58
  5. Step 5: Solve for x
    x = 245,862,607.58/20,485.99
  6. Step 6: Final answer
    x = 12,001.50

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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.