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Finding the Fourth Proportional to 22,022.73, 33,043.35 and 13,709.70

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Solution

The fourth proportional to 22,022.73, 33,043.35 and 13,709.70 is: 20,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.73 : 33,043.35 = 13,709.70 : x
  2. Step 2: Convert to fraction form
    22,022.73/33,043.35 = 13,709.70/x
  3. Step 3: Cross multiply
    22,022.73x = 33,043.35 × 13,709.70
  4. Step 4: Simplify right side
    22,022.73x = 453,014,415.50
  5. Step 5: Solve for x
    x = 453,014,415.50/22,022.73
  6. Step 6: Final answer
    x = 20,570.31

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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.