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Finding the Fourth Proportional to 22,794.36, 34,195.22 and 9,646.88

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Solution

The fourth proportional to 22,794.36, 34,195.22 and 9,646.88 is: 14,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.36 : 34,195.22 = 9,646.88 : x
  2. Step 2: Convert to fraction form
    22,794.36/34,195.22 = 9,646.88/x
  3. Step 3: Cross multiply
    22,794.36x = 34,195.22 × 9,646.88
  4. Step 4: Simplify right side
    22,794.36x = 329,877,183.91
  5. Step 5: Solve for x
    x = 329,877,183.91/22,794.36
  6. Step 6: Final answer
    x = 14,471.88

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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.