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Finding the Fourth Proportional to 20,015.76, 29,984.76 and 9,634.80

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Solution

The fourth proportional to 20,015.76, 29,984.76 and 9,634.80 is: 14,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015.76 : 29,984.76 = 9,634.80 : x
  2. Step 2: Convert to fraction form
    20,015.76/29,984.76 = 9,634.80/x
  3. Step 3: Cross multiply
    20,015.76x = 29,984.76 × 9,634.80
  4. Step 4: Simplify right side
    20,015.76x = 288,897,165.65
  5. Step 5: Solve for x
    x = 288,897,165.65/20,015.76
  6. Step 6: Final answer
    x = 14,433.48

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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.