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Finding the Fourth Proportional to 20,537.40, 30,806.10 and 11,206.20

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Solution

The fourth proportional to 20,537.40, 30,806.10 and 11,206.20 is: 16,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.40 : 30,806.10 = 11,206.20 : x
  2. Step 2: Convert to fraction form
    20,537.40/30,806.10 = 11,206.20/x
  3. Step 3: Cross multiply
    20,537.40x = 30,806.10 × 11,206.20
  4. Step 4: Simplify right side
    20,537.40x = 345,219,317.82
  5. Step 5: Solve for x
    x = 345,219,317.82/20,537.40
  6. Step 6: Final answer
    x = 16,809.30

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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.