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Finding the Fourth Proportional to 22,205.70, 33,296.40 and 9,043.20

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Solution

The fourth proportional to 22,205.70, 33,296.40 and 9,043.20 is: 13,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.70 : 33,296.40 = 9,043.20 : x
  2. Step 2: Convert to fraction form
    22,205.70/33,296.40 = 9,043.20/x
  3. Step 3: Cross multiply
    22,205.70x = 33,296.40 × 9,043.20
  4. Step 4: Simplify right side
    22,205.70x = 301,106,004.48
  5. Step 5: Solve for x
    x = 301,106,004.48/22,205.70
  6. Step 6: Final answer
    x = 13,559.85

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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.