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Finding the Fourth Proportional to 19,646.38, 29,469.71 and 5,606.38

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Solution

The fourth proportional to 19,646.38, 29,469.71 and 5,606.38 is: 8,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.38 : 29,469.71 = 5,606.38 : x
  2. Step 2: Convert to fraction form
    19,646.38/29,469.71 = 5,606.38/x
  3. Step 3: Cross multiply
    19,646.38x = 29,469.71 × 5,606.38
  4. Step 4: Simplify right side
    19,646.38x = 165,218,392.75
  5. Step 5: Solve for x
    x = 165,218,392.75/19,646.38
  6. Step 6: Final answer
    x = 8,409.61

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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.