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Finding the Fourth Proportional to 13,636.16, 20,456.40 and 8,093.60

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Solution

The fourth proportional to 13,636.16, 20,456.40 and 8,093.60 is: 12,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636.16 : 20,456.40 = 8,093.60 : x
  2. Step 2: Convert to fraction form
    13,636.16/20,456.40 = 8,093.60/x
  3. Step 3: Cross multiply
    13,636.16x = 20,456.40 × 8,093.60
  4. Step 4: Simplify right side
    13,636.16x = 165,565,919.04
  5. Step 5: Solve for x
    x = 165,565,919.04/13,636.16
  6. Step 6: Final answer
    x = 12,141.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.