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Finding the Fourth Proportional to 19,546.57, 29,316.79 and 6,398.65

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Solution

The fourth proportional to 19,546.57, 29,316.79 and 6,398.65 is: 9,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.57 : 29,316.79 = 6,398.65 : x
  2. Step 2: Convert to fraction form
    19,546.57/29,316.79 = 6,398.65/x
  3. Step 3: Cross multiply
    19,546.57x = 29,316.79 × 6,398.65
  4. Step 4: Simplify right side
    19,546.57x = 187,587,878.33
  5. Step 5: Solve for x
    x = 187,587,878.33/19,546.57
  6. Step 6: Final answer
    x = 9,596.97

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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.