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Finding the Fourth Proportional to 20,294.50, 30,441.81 and 7,982.50

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Solution

The fourth proportional to 20,294.50, 30,441.81 and 7,982.50 is: 11,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.50 : 30,441.81 = 7,982.50 : x
  2. Step 2: Convert to fraction form
    20,294.50/30,441.81 = 7,982.50/x
  3. Step 3: Cross multiply
    20,294.50x = 30,441.81 × 7,982.50
  4. Step 4: Simplify right side
    20,294.50x = 243,001,748.33
  5. Step 5: Solve for x
    x = 243,001,748.33/20,294.50
  6. Step 6: Final answer
    x = 11,973.77

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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.