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Finding the Fourth Proportional to 20,125.20, 30,187.80 and 12,762.30

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Solution

The fourth proportional to 20,125.20, 30,187.80 and 12,762.30 is: 19,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.20 : 30,187.80 = 12,762.30 : x
  2. Step 2: Convert to fraction form
    20,125.20/30,187.80 = 12,762.30/x
  3. Step 3: Cross multiply
    20,125.20x = 30,187.80 × 12,762.30
  4. Step 4: Simplify right side
    20,125.20x = 385,265,759.94
  5. Step 5: Solve for x
    x = 385,265,759.94/20,125.20
  6. Step 6: Final answer
    x = 19,143.45

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1.5x scale

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.