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Finding the Fourth Proportional to 20,004.12, 30,002.76 and 8,314.20

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Solution

The fourth proportional to 20,004.12, 30,002.76 and 8,314.20 is: 12,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.12 : 30,002.76 = 8,314.20 : x
  2. Step 2: Convert to fraction form
    20,004.12/30,002.76 = 8,314.20/x
  3. Step 3: Cross multiply
    20,004.12x = 30,002.76 × 8,314.20
  4. Step 4: Simplify right side
    20,004.12x = 249,448,947.19
  5. Step 5: Solve for x
    x = 249,448,947.19/20,004.12
  6. Step 6: Final answer
    x = 12,469.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.