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Finding the Fourth Proportional to 13,414.40, 20,083.20 and 13,414.40

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Solution

The fourth proportional to 13,414.40, 20,083.20 and 13,414.40 is: 20,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.40 : 20,083.20 = 13,414.40 : x
  2. Step 2: Convert to fraction form
    13,414.40/20,083.20 = 13,414.40/x
  3. Step 3: Cross multiply
    13,414.40x = 20,083.20 × 13,414.40
  4. Step 4: Simplify right side
    13,414.40x = 269,404,078.08
  5. Step 5: Solve for x
    x = 269,404,078.08/13,414.40
  6. Step 6: Final answer
    x = 20,083.20

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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.