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Finding the Fourth Proportional to 22,051.33, 33,082.56 and 9,568.32

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Solution

The fourth proportional to 22,051.33, 33,082.56 and 9,568.32 is: 14,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.33 : 33,082.56 = 9,568.32 : x
  2. Step 2: Convert to fraction form
    22,051.33/33,082.56 = 9,568.32/x
  3. Step 3: Cross multiply
    22,051.33x = 33,082.56 × 9,568.32
  4. Step 4: Simplify right side
    22,051.33x = 316,544,520.50
  5. Step 5: Solve for x
    x = 316,544,520.50/22,051.33
  6. Step 6: Final answer
    x = 14,354.89

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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.