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Finding the Fourth Proportional to 22,016, 33,024 and 13,813.76

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Solution

The fourth proportional to 22,016, 33,024 and 13,813.76 is: 20,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,016 : 33,024 = 13,813.76 : x
  2. Step 2: Convert to fraction form
    22,016/33,024 = 13,813.76/x
  3. Step 3: Cross multiply
    22,016x = 33,024 × 13,813.76
  4. Step 4: Simplify right side
    22,016x = 456,185,610.24
  5. Step 5: Solve for x
    x = 456,185,610.24/22,016
  6. Step 6: Final answer
    x = 20,720.64

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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.