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Finding the Fourth Proportional to 20,563.76, 30,774.36 and 12,662.76

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Solution

The fourth proportional to 20,563.76, 30,774.36 and 12,662.76 is: 18,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.76 : 30,774.36 = 12,662.76 : x
  2. Step 2: Convert to fraction form
    20,563.76/30,774.36 = 12,662.76/x
  3. Step 3: Cross multiply
    20,563.76x = 30,774.36 × 12,662.76
  4. Step 4: Simplify right side
    20,563.76x = 389,688,334.83
  5. Step 5: Solve for x
    x = 389,688,334.83/20,563.76
  6. Step 6: Final answer
    x = 18,950.25

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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.