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Finding the Fourth Proportional to 16,107.76, 22,221.12 and 11,394.64

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Solution

The fourth proportional to 16,107.76, 22,221.12 and 11,394.64 is: 15,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.76 : 22,221.12 = 11,394.64 : x
  2. Step 2: Convert to fraction form
    16,107.76/22,221.12 = 11,394.64/x
  3. Step 3: Cross multiply
    16,107.76x = 22,221.12 × 11,394.64
  4. Step 4: Simplify right side
    16,107.76x = 253,201,662.80
  5. Step 5: Solve for x
    x = 253,201,662.80/16,107.76
  6. Step 6: Final answer
    x = 15,719.23

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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.