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Finding the Fourth Proportional to 20,200.90, 30,301.35 and 12,813.70

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Solution

The fourth proportional to 20,200.90, 30,301.35 and 12,813.70 is: 19,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.90 : 30,301.35 = 12,813.70 : x
  2. Step 2: Convert to fraction form
    20,200.90/30,301.35 = 12,813.70/x
  3. Step 3: Cross multiply
    20,200.90x = 30,301.35 × 12,813.70
  4. Step 4: Simplify right side
    20,200.90x = 388,272,408.50
  5. Step 5: Solve for x
    x = 388,272,408.50/20,200.90
  6. Step 6: Final answer
    x = 19,220.55

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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.