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Finding the Fourth Proportional to 22,546.10, 33,821.58 and 13,200.32

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Solution

The fourth proportional to 22,546.10, 33,821.58 and 13,200.32 is: 19,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.10 : 33,821.58 = 13,200.32 : x
  2. Step 2: Convert to fraction form
    22,546.10/33,821.58 = 13,200.32/x
  3. Step 3: Cross multiply
    22,546.10x = 33,821.58 × 13,200.32
  4. Step 4: Simplify right side
    22,546.10x = 446,455,678.91
  5. Step 5: Solve for x
    x = 446,455,678.91/22,546.10
  6. Step 6: Final answer
    x = 19,801.90

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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.