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Finding the Fourth Proportional to 20,473.60, 30,711.04 and 7,993.12

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Solution

The fourth proportional to 20,473.60, 30,711.04 and 7,993.12 is: 11,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.60 : 30,711.04 = 7,993.12 : x
  2. Step 2: Convert to fraction form
    20,473.60/30,711.04 = 7,993.12/x
  3. Step 3: Cross multiply
    20,473.60x = 30,711.04 × 7,993.12
  4. Step 4: Simplify right side
    20,473.60x = 245,477,028.04
  5. Step 5: Solve for x
    x = 245,477,028.04/20,473.60
  6. Step 6: Final answer
    x = 11,989.93

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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.