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Finding the Fourth Proportional to 19,640.69, 29,461.03 and 16,170.65

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Solution

The fourth proportional to 19,640.69, 29,461.03 and 16,170.65 is: 24,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.69 : 29,461.03 = 16,170.65 : x
  2. Step 2: Convert to fraction form
    19,640.69/29,461.03 = 16,170.65/x
  3. Step 3: Cross multiply
    19,640.69x = 29,461.03 × 16,170.65
  4. Step 4: Simplify right side
    19,640.69x = 476,403,857.46
  5. Step 5: Solve for x
    x = 476,403,857.46/19,640.69
  6. Step 6: Final answer
    x = 24,255.97

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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.