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Finding the Fourth Proportional to 20,002.70, 30,002.84 and 8,316.02

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Solution

The fourth proportional to 20,002.70, 30,002.84 and 8,316.02 is: 12,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.70 : 30,002.84 = 8,316.02 : x
  2. Step 2: Convert to fraction form
    20,002.70/30,002.84 = 8,316.02/x
  3. Step 3: Cross multiply
    20,002.70x = 30,002.84 × 8,316.02
  4. Step 4: Simplify right side
    20,002.70x = 249,504,217.50
  5. Step 5: Solve for x
    x = 249,504,217.50/20,002.70
  6. Step 6: Final answer
    x = 12,473.53

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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.