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Finding the Fourth Proportional to 13,478.40, 20,217.60 and 12,902.40

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Solution

The fourth proportional to 13,478.40, 20,217.60 and 12,902.40 is: 19,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.40 : 20,217.60 = 12,902.40 : x
  2. Step 2: Convert to fraction form
    13,478.40/20,217.60 = 12,902.40/x
  3. Step 3: Cross multiply
    13,478.40x = 20,217.60 × 12,902.40
  4. Step 4: Simplify right side
    13,478.40x = 260,855,562.24
  5. Step 5: Solve for x
    x = 260,855,562.24/13,478.40
  6. Step 6: Final answer
    x = 19,353.60

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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.