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Finding the Fourth Proportional to 22,022.61, 33,043.17 and 13,709.58

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Solution

The fourth proportional to 22,022.61, 33,043.17 and 13,709.58 is: 20,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.61 : 33,043.17 = 13,709.58 : x
  2. Step 2: Convert to fraction form
    22,022.61/33,043.17 = 13,709.58/x
  3. Step 3: Cross multiply
    22,022.61x = 33,043.17 × 13,709.58
  4. Step 4: Simplify right side
    22,022.61x = 453,007,982.57
  5. Step 5: Solve for x
    x = 453,007,982.57/22,022.61
  6. Step 6: Final answer
    x = 20,570.13

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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.