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Finding the Fourth Proportional to 22,022.64, 32,951.16 and 13,105.14

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Solution

The fourth proportional to 22,022.64, 32,951.16 and 13,105.14 is: 19,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.64 : 32,951.16 = 13,105.14 : x
  2. Step 2: Convert to fraction form
    22,022.64/32,951.16 = 13,105.14/x
  3. Step 3: Cross multiply
    22,022.64x = 32,951.16 × 13,105.14
  4. Step 4: Simplify right side
    22,022.64x = 431,829,564.96
  5. Step 5: Solve for x
    x = 431,829,564.96/22,022.64
  6. Step 6: Final answer
    x = 19,608.44

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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.