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Finding the Fourth Proportional to 13,410.40, 20,077.20 and 8,226.40

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Solution

The fourth proportional to 13,410.40, 20,077.20 and 8,226.40 is: 12,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.40 : 20,077.20 = 8,226.40 : x
  2. Step 2: Convert to fraction form
    13,410.40/20,077.20 = 8,226.40/x
  3. Step 3: Cross multiply
    13,410.40x = 20,077.20 × 8,226.40
  4. Step 4: Simplify right side
    13,410.40x = 165,163,078.08
  5. Step 5: Solve for x
    x = 165,163,078.08/13,410.40
  6. Step 6: Final answer
    x = 12,316.04

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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.