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Finding the Fourth Proportional to 22,505.36, 33,758.04 and 8,644.64

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Solution

The fourth proportional to 22,505.36, 33,758.04 and 8,644.64 is: 12,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.36 : 33,758.04 = 8,644.64 : x
  2. Step 2: Convert to fraction form
    22,505.36/33,758.04 = 8,644.64/x
  3. Step 3: Cross multiply
    22,505.36x = 33,758.04 × 8,644.64
  4. Step 4: Simplify right side
    22,505.36x = 291,826,102.91
  5. Step 5: Solve for x
    x = 291,826,102.91/22,505.36
  6. Step 6: Final answer
    x = 12,966.96

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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.