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Finding the Fourth Proportional to 13,671.60, 20,507.40 and 7,824.09

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Solution

The fourth proportional to 13,671.60, 20,507.40 and 7,824.09 is: 11,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.60 : 20,507.40 = 7,824.09 : x
  2. Step 2: Convert to fraction form
    13,671.60/20,507.40 = 7,824.09/x
  3. Step 3: Cross multiply
    13,671.60x = 20,507.40 × 7,824.09
  4. Step 4: Simplify right side
    13,671.60x = 160,451,743.27
  5. Step 5: Solve for x
    x = 160,451,743.27/13,671.60
  6. Step 6: Final answer
    x = 11,736.14

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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.