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Finding the Fourth Proportional to 20,486.49, 30,722.90 and 8,003.28

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Solution

The fourth proportional to 20,486.49, 30,722.90 and 8,003.28 is: 12,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.49 : 30,722.90 = 8,003.28 : x
  2. Step 2: Convert to fraction form
    20,486.49/30,722.90 = 8,003.28/x
  3. Step 3: Cross multiply
    20,486.49x = 30,722.90 × 8,003.28
  4. Step 4: Simplify right side
    20,486.49x = 245,883,971.11
  5. Step 5: Solve for x
    x = 245,883,971.11/20,486.49
  6. Step 6: Final answer
    x = 12,002.25

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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.