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Finding the Fourth Proportional to 22,305.30, 33,429.60 and 9,142.80

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Solution

The fourth proportional to 22,305.30, 33,429.60 and 9,142.80 is: 13,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.30 : 33,429.60 = 9,142.80 : x
  2. Step 2: Convert to fraction form
    22,305.30/33,429.60 = 9,142.80/x
  3. Step 3: Cross multiply
    22,305.30x = 33,429.60 × 9,142.80
  4. Step 4: Simplify right side
    22,305.30x = 305,640,146.88
  5. Step 5: Solve for x
    x = 305,640,146.88/22,305.30
  6. Step 6: Final answer
    x = 13,702.58

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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.