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Finding the Fourth Proportional to 20,483.16, 30,725.34 and 8,002.68

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Solution

The fourth proportional to 20,483.16, 30,725.34 and 8,002.68 is: 12,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,483.16 : 30,725.34 = 8,002.68 : x
  2. Step 2: Convert to fraction form
    20,483.16/30,725.34 = 8,002.68/x
  3. Step 3: Cross multiply
    20,483.16x = 30,725.34 × 8,002.68
  4. Step 4: Simplify right side
    20,483.16x = 245,885,063.91
  5. Step 5: Solve for x
    x = 245,885,063.91/20,483.16
  6. Step 6: Final answer
    x = 12,004.25

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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.