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Finding the Fourth Proportional to 20,166.64, 27,846.54 and 13,105.12

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Solution

The fourth proportional to 20,166.64, 27,846.54 and 13,105.12 is: 18,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166.64 : 27,846.54 = 13,105.12 : x
  2. Step 2: Convert to fraction form
    20,166.64/27,846.54 = 13,105.12/x
  3. Step 3: Cross multiply
    20,166.64x = 27,846.54 × 13,105.12
  4. Step 4: Simplify right side
    20,166.64x = 364,932,248.28
  5. Step 5: Solve for x
    x = 364,932,248.28/20,166.64
  6. Step 6: Final answer
    x = 18,095.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.